User:ARsygo/Forging tethratope regiment numbers

Note: this article is a part of ExE generator of googologisms.

This article provides list of comprehensive googolisms listed in tethratope regiment, which coined using Extended Cascading-E Notation. And also, I'm going to add some of my own googolisms which is not available in original source. The original source has 897 googolisms listed there.

So, let's begin.

Note: E100#^^#^#n = E100#^^#^(n)100

Before E100#^^#^#(E100)

 * 1) (9010) tethrahendekon (E100#^^#^#11) (has recursion level \(f_{\varphi(11,0)}(100)\))
 * 2) (9011) tethradodekon (E100#^^#^#12) (has recursion level \(f_{\varphi(12,0)}(100)\))
 * 3) (9012) tethratredekon (E100#^^#^#13) (has recursion level \(f_{\varphi(13,0)}(100)\))
 * 4) (9013) tethraterdekon (E100#^^#^#14) (has recursion level \(f_{\varphi(14,0)}(100)\))
 * 5) (9014) tethrapedekon (E100#^^#^#15) (has recursion level \(f_{\varphi(15,0)}(100)\))
 * 6) (9015) tethra-exdekon (E100#^^#^#16) (has recursion level \(f_{\varphi(16,0)}(100)\))
 * 7) (9016) tethra-epdekon (E100#^^#^#17) (has recursion level \(f_{\varphi(17,0)}(100)\))
 * 8) (9017) tethra-ogdekon = E100(#^^#^18)100 (has recursion level \(f_{\varphi(18,0)}(100)\))
 * 9) (9018) tethra-enndekon = E100(#^^#^19)100 (has recursion level \(f_{\varphi(19,0)}(100)\))
 * 10) (9019) tethra-icoson = E100(#^^#^20)100 (has recursion level \(f_{\varphi(20,0)}(100)\))
 * 11) tethra-penicoson = E100(#^^#^25)100 (has recursion level \(f_{\varphi(25,0)}(100)\))
 * 12) (9020) tethratrianton = E100(#^^#^30)100 (has recursion level \(f_{\varphi(30,0)}(100)\))
 * 13) (9021) tethrasaranton = E100(#^^#^40)100 (has recursion level \(f_{\varphi(40,0)}(100)\))
 * 14) (9022) tethrapeninton = E100(#^^#^50)100 (has recursion level \(f_{\varphi(50,0)}(100)\))
 * 15) (9023) tethra-exinton = E100(#^^#^60)100 (has recursion level \(f_{\varphi(60,0)}(100)\))
 * 16) (9024) tethra-ebdominton = E100(#^^#^70)100 (has recursion level \(f_{\varphi(70,0)}(100)\))
 * 17) (9025) tethra-ogdonton = E100(#^^#^80)100 (has recursion level \(f_{\varphi(80,0)}(100)\))
 * 18) (9026) tethra-eneninton = E100(#^^#^90)100 (has recursion level \(f_{\varphi(90,0)}(100)\))
 * 19) tethra-heneneninton = E100(#^^#^91)100 (has recursion level \(f_{\varphi(91,0)}(100)\))
 * 20) tethra-doeneninton = E100(#^^#^92)100 (has recursion level \(f_{\varphi(92,0)}(100)\))
 * 21) tethra-tre-eneninton = E100(#^^#^93)100 (has recursion level \(f_{\varphi(93,0)}(100)\))
 * 22) tethra-ter-eneninton = E100(#^^#^94)100 (has recursion level \(f_{\varphi(94,0)}(100)\))
 * 23) tethra-pent-eneninton = E100(#^^#^95)100 (has recursion level \(f_{\varphi(95,0)}(100)\))
 * 24) tethra-ex-eneninton = E100(#^^#^96)100 (has recursion level \(f_{\varphi(96,0)}(100)\))
 * 25) tethra-ep-eneninton = E100(#^^#^97)100 (has recursion level \(f_{\varphi(97,0)}(100)\))
 * 26) tethra-ogdeneninton = E100(#^^#^98)100 (has recursion level \(f_{\varphi(98,0)}(100)\))
 * 27) (9027) tethra-enneneninton = E100(#^^#^99)100 (has recursion level \(f_{\varphi(99,0)}(100)\))
 * 28) (9028) tethrahecton, (9062) tethratope or (9063) tethratopos = E100(#^^#^100)100 = E100#^^#^#100 (has recursion level \(f_{\varphi(100,0)}(100) \approx f_{\varphi(\omega,0)}(100)\))
 * 29) grand tethrahecton = E100(#^^#^100)100#2 (has recursion level \(f_{\varphi(100,0)}^2(100)\))
 * 30) grangol-carta-tethrahecton = E100(#^^#^100)100#100 (has recursion level \(f_{\varphi(100,0) + 1}(100)\))
 * 31) greagol-carta-tethrahecton = E100(#^^#^100)100#100#100 (has recursion level \(f_{\varphi(100,0) + 2}(100)\))
 * 32) gigangol-carta-tethrahecton = E100(#^^#^100)100#100#100#100 (has recursion level \(f_{\varphi(100,0) + 3}(100)\))
 * 33) gugold-carta-tethrahecton = E100(#^^#^100)100##100 (has recursion level \(f_{\varphi(100,0) + \omega}(100)\))
 * 34) throogol-carta-tethrahecton = E100(#^^#^100)100###100 (has recursion level \(f_{\varphi(100,0) + \omega^2}(100)\))
 * 35) tetroogol-carta-tethrahecton = E100(#^^#^100)100####100 (has recursion level \(f_{\varphi(100,0) + \omega^3}(100)\))
 * 36) pentoogol-carta-tethrahecton = E100(#^^#^100)100#^(5)100 (has recursion level \(f_{\varphi(100,0) + \omega^4}(100)\))
 * 37) godgahlah-carta-tethrahecton = E100(#^^#^100)100#^#100 (has recursion level \(f_{\varphi(100,0) + \omega^{\omega}}(100)\))
 * 38) godgathor-carta-tethrahecton = E100(#^^#^100)100#^#^#100 (has recursion level \(f_{\varphi(100,0) + \omega^{\omega^{\omega}}}(100)\))
 * 39) godtothol-carta-tethrahecton = E100(#^^#^100)100#^#^#^#100 (has recursion level \(f_{\varphi(100,0) + \omega^{\omega^{\omega^{\omega}}}}(100)\))
 * 40) godtertol-carta-tethrahecton = E100(#^^#^100)100#^^#5 (has recursion level \(f_{\varphi(100,0) + \omega\uparrow\uparrow5}(100)\))
 * 41) tethrathoth-carta-tethrahecton = E100(#^^#^100)100#^^#100 (has recursion level \(f_{\varphi(100,0) + \varepsilon_{0}}(100)\))
 * 42) tethracross-carta-tethrahecton = E100(#^^#^100)100#^^##100 (has recursion level \(f_{\varphi(100,0) + \zeta_{0}}(100)\))
 * 43) tethracubor-carta-tethrahecton = E100(#^^#^100)100#^^###100 (has recursion level \(f_{\varphi(100,0) + \eta_{0}}(100)\))
 * 44) tethrateron-carta-tethrahecton = E100(#^^#^100)100#^^####100 (has recursion level \(f_{\varphi(100,0) + \varphi(4,0)}(100)\))
 * 45) tethrapeton-carta-tethrahecton = E100(#^^#^100)100#^^#^(5)100 (has recursion level \(f_{\varphi(100,0) + \varphi(5,0)}(100)\))
 * 46) tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0)}(100)\))
 * 47) grand tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#2 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0)}^2(100)\))
 * 48) grangol carta tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + 1}(100)\))
 * 49) godgahlah carta tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#^#100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \omega^{\omega}}(100)\))
 * 50) tethrathoth carta tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#^^#100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \varepsilon_0}(100)\))
 * 51) tethracross carta tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#^^##100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \zeta_0}(100)\))
 * 52) tethracubor carta tethrahecton-by-deuteron = E100(#^^#^100)100(#^^#^100)100#^^###100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \eta_0}(100)\))
 * 53) tethrahecton-by-triton = E100(#^^#^100)100(#^^#^100)100(#^^#^100)100 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \varphi(100,0)}(100)\))
 * 54) grand tethrahecton-by-triton = E100(#^^#^100)100(#^^#^100)100(#^^#^100)100#2 (has recursion level \(f_{\varphi(100,0) + \varphi(100,0) + \varphi(100,0)}^2(100)\))
 * 55) tethrahecton-by-teterton = E100(#^^#^100)*#5 (has recursion level \(f_{\varphi(100,0) \times 4}(100)\))
 * 56) tethrahecton-by-pepton = E100(#^^#^100)*#6 (has recursion level \(f_{\varphi(100,0) \times 5}(100)\))
 * 57) tethrahecton-by-exton = E100(#^^#^100)*#7 (has recursion level \(f_{\varphi(100,0) \times 6}(100)\))
 * 58) tethrahecton-by-epton = E100(#^^#^100)*#8 (has recursion level \(f_{\varphi(100,0) \times 7}(100)\))
 * 59) tethrahecton-by-ogdon = E100(#^^#^100)*#9 (has recursion level \(f_{\varphi(100,0) \times 9}(100)\))
 * 60) tethrahecton-by-enton = E100(#^^#^100)*#10 (has recursion level \(f_{\varphi(100,0) \times 10}(100)\))
 * 61) tethrahecton-by-dekaton = E100(#^^#^100)*#11 (has recursion level \(f_{\varphi(100,0) \times 11}(100)\))
 * 62) tethrahecton-by-hyperion = E100(#^^#^100)*#100 (has recursion level \(f_{\varphi(100,0) \times \omega}(100)\))
 * 63) tethrahecton-by-hyperion-by-deuteron = E100(#^^#^100)*##2 (has recursion level \(f_{\varphi(100,0) \times \omega2}(100)\))
 * 64) tethrahecton-by-hyperion-by-triton = E100(#^^#^100)*##3 (has recursion level \(f_{\varphi(100,0) \times \omega3}(100)\))
 * 65) tethrahecton-by-deuterhyperion = E100(#^^#^100)100*##100 (has recursion level \(f_{\varphi(100,0) \times \omega^2}(100)\))
 * 66) tethrahecton-by-tritohyperion = E100(#^^#^100)*###100 (has recursion level \(f_{\varphi(100,0) \times \omega^3}(100)\))
 * 67) tethrahecton-by-godgahlah = E100(#^^#^100)*#^#100 (has recursion level \(f_{\varphi(100,0) \times \omega^{\omega}}(100)\))
 * 68) tethrahecton-by-godgathor = E100(#^^#^100)*#^#^#100 (has recursion level \(f_{\varphi(100,0) \times \omega^{\omega^{\omega}}}(100)\))
 * 69) tethrahecton-by-godtothol = E100(#^^#^100)*#^#^#^#100 (has recursion level \(f_{\varphi(100,0) \times \omega^{\omega^{\omega^{\omega}}}}(100)\))
 * 70) tethrahecton-by-godtertol = E100(#^^#^100)*#^^#5 (has recursion level \(f_{\varphi(100,0) \times \omega\uparrow\uparrow5}(100)\))
 * 71) tethrahecton-by-tethrathoth = E100(#^^#^100)*#^^#100 (has recursion level \(f_{\varphi(100,0) \times \varepsilon_0}(100)\))
 * 72) tethrahecton-by-tethracross = E100(#^^#^100)*#^^##100 (has recursion level \(f_{\varphi(100,0) \times \zeta_0}(100)\))
 * 73) tethrahecton-by-tethracubor = E100(#^^#^100)*#^^###100 (has recursion level \(f_{\varphi(100,0) \times \eta_0}(100)\))
 * 74) tethrahecton-by-tethrateron = E100(#^^#^100)*#^^####100 (has recursion level \(f_{\varphi(100,0) \times \varphi(4,0)}(100)\))
 * 75) (9148) deutero tethrahecton = E100(#^^#^100)*#^^#^(100)100 (has recursion level \(f_{\varphi(100,0)^2}(100)\))
 * 76) trito tethrahecton = E100(#^^#^100)*(#^^#^100)*(#^^#^100)100 (has recursion level \(f_{\varphi(100,0)^3}(100)\))
 * 77) teterto-tethrahecton = E100(#^^#^100)^#4 (has recursion level \(f_{\varphi(100,0)^4}(100)\))
 * 78) pepto-tethrahecton = E100(#^^#^100)^#5 (has recursion level \(f_{\varphi(100,0)^5}(100)\))
 * 79) exto-tethrahecton = E100(#^^#^100)^#6 (has recursion level \(f_{\varphi(100,0)^6}(100)\))
 * 80) epto-tethrahecton = E100(#^^#^100)^#7 (has recursion level \(f_{\varphi(100,0)^7}(100)\))
 * 81) ogdo-tethrahecton = E100(#^^#^100)^#8 (has recursion level \(f_{\varphi(100,0)^8}(100)\))
 * 82) ento-tethrahecton = E100(#^^#^100)^#9 (has recursion level \(f_{\varphi(100,0)^9}(100)\))
 * 83) dekato-tethrahecton = E100(#^^#^100)^#10 (has recursion level \(f_{\varphi(100,0)^{10}}(100)\))
 * 84) tethrahectonifact = E100(#^^#^100)^#100 (has recursion level \(f_{\varphi(100,0)^{\omega}}(100)\))
 * 85) quadratatethrahecton = E100(#^^#^100)^##100 (has recursion level \(f_{\varphi(100,0)^{\omega^{2}}}(100)\))
 * 86) kubikutethrahecton = E100(#^^#^100)^###100 (has recursion level \(f_{\varphi(100,0)^{\omega^{3}}}(100)\))
 * 87) quarticutethrahecton = E100(#^^#^100)^####100 (has recursion level \(f_{\varphi(100,0)^{\omega^{4}}}(100)\))
 * 88) quinticutethrahecton = E100(#^^#^100)^#^#5 (has recursion level \(f_{\varphi(100,0)^{\omega^{5}}}(100)\))
 * 89) sexticutethrahecton = E100(#^^#^100)^#^#6 (has recursion level \(f_{\varphi(100,0)^{\omega^{6}}}(100)\))
 * 90) septicutethrahecton = E100(#^^#^100)^#^#7 (has recursion level \(f_{\varphi(100,0)^{\omega^{7}}}(100)\))
 * 91) octicutethrahecton = E100(#^^#^100)^#^#8 (has recursion level \(f_{\varphi(100,0)^{\omega^{8}}}(100)\))
 * 92) nonicutethrahecton = E100(#^^#^100)^#^#9 (has recursion level \(f_{\varphi(100,0)^{\omega^{9}}}(100)\))
 * 93) decicutethrahecton = E100(#^^#^100)^#^#10 (has recursion level \(f_{\varphi(100,0)^{\omega^{10}}}(100)\))
 * 94) godgahlah-ipso-tethrahecton, E100(#^^#^100)^#^#100 (has recursion level \(f_{\varphi(100,0)^{\omega^{\omega}}}(100)\))
 * 95) godgathor-ipso-tethrahecton, E100(#^^#^100)^#^#^#100 (has recursion level \(f_{\varphi(100,0)^{\omega^{\omega^{\omega}}}}(100)\))
 * 96) godtothol-ipso-tethrahecton, E100(#^^#^100)^#^^#4 (has recursion level \(f_{\varphi(100,0)^{\omega↑↑4}}(100)\))
 * 97) godtertol-ipso-tethrahecton, E100(#^^#^100)^#^^#5 (has recursion level \(f_{\varphi(100,0)^{\omega↑↑5}}(100)\))
 * 98) tethrathoth-ipso-tethrahecton, E100(#^^#^100)^(#^^#)100 (has recursion level \(f_{\varphi(100,0)^{\varepsilon_{0}}}(100)\))
 * 99) tethracross-ipso-tethrahecton, E100(#^^#^100)^(#^^##)100 (has recursion level \(f_{\varphi(100,0)^{\zeta_{0}}}(100)\))
 * 100) tethracubor-ipso-tethrahecton, E100(#^^#^100)^(#^^###)100 (has recursion level \(f_{\varphi(100,0)^{\eta_{0}}}(100)\))
 * 101) tethrateron-ipso-tethrahecton, E100(#^^#^100)^(#^^#^4)100 (has recursion level \(f_{\varphi(100,0)^{\varphi(4,0)}}(100)\))
 * 102) (9211) dutetrated tethrahecton, E100(#^^#^100)^(#^^#^100)100 (has recursion level \(f_{\varphi(100,0)^{\varphi(100,0)}}(100)\))
 * 103) tritetrated tethrahecton, E100(#^^#^100)^(#^^#^100)^(#^^#^100)100 (has recursion level \(f_{\varphi(100,0)^{\varphi(100,0)^{\varphi(100,0)}}}(100)\))
 * 104) quadratetrated tethrahecton, E100(#^^#^100)^^#4 (has recursion level \(f_{\varphi(100,0)^{\varphi(100,0)^{\varphi(100,0)^{\varphi(100,0)}}}}(100)\))
 * 105) quintatetrated tethrahecton, E100(#^^#^100)^^#5 (has recursion level \(f_{\varphi(100,0)↑↑5}(100)\))
 * 106) sextatetrated tethrahecton, E100(#^^#^100)^^#6 (has recursion level \(f_{\varphi(100,0)↑↑6}(100)\))
 * 107) septatetrated tethrahecton, E100(#^^#^100)^^#7 (has recursion level \(f_{\varphi(100,0)↑↑7}(100)\))
 * 108) octatetrated tethrahecton, E100(#^^#^100)^^#8 (has recursion level \(f_{\varphi(100,0)↑↑8}(100)\))
 * 109) nonatetrated tethrahecton, E100(#^^#^100)^^#9 (has recursion level \(f_{\varphi(100,0)↑↑9}(100)\))
 * 110) decatetrated tethrahecton, E100(#^^#^100)^^#10 (has recursion level \(f_{\varphi(100,0)↑↑{10}}(100)\))
 * 111) terrible tethrahecton, E100(#^^#^100)^^#100 (has recursion level \(f_{\varepsilon_{\varphi(100,0) + 1}}(100)\))
 * 112) territertethrahecton, E100(#^^#^100)^^#>#100 (has recursion level \(f_{\varepsilon_{\varphi(100,0) + \omega}}(100)\))
 * 113) dustaculated territethrahecton, E100(#^^#^100)^^#>(#^^#^100)^^#100 (has recursion level \(f_{\varepsilon_{\varepsilon_{\varphi(100,0) + 1}}}(100)\))
 * 114) terrisquared tethrahecton, E100(#^^#^100)^^##100 (has recursion level \(f_{\zeta_{\varphi(100,0) + 1}}(100)\))
 * 115) terricubed tethrahecton, E100(#^^#^100)^^###100 (has recursion level \(f_{\eta_{\varphi(100,0) + 1}}(100)\))
 * 116) territesserated tethrahecton, E100(#^^#^100)^^####100 (has recursion level \(f_{\varphi(4,\varphi(100,0) + 1)}(100)\))
 * 117) terripenterated tethrahecton, E100(#^^#^100)^^#^(5)100 (has recursion level \(f_{\varphi(5,\varphi(100,0) + 1)}(100)\))
 * 118) terrihexerated tethrahecton, E100(#^^#^100)^^#^(6)100 (has recursion level \(f_{\varphi(6,\varphi(100,0) + 1)}(100)\))
 * 119) terrihepterated tethrahecton, E100(#^^#^100)^^#^(7)100 (has recursion level \(f_{\varphi(7,\varphi(100,0) + 1)}(100)\))
 * 120) terriocterated tethrahecton, E100(#^^#^100)^^#^(8)100 (has recursion level \(f_{\varphi(8,\varphi(100,0) + 1)}(100)\))
 * 121) terriennerated tethrahecton, E100(#^^#^100)^^#^(9)100 (has recursion level \(f_{\varphi(9,\varphi(100,0) + 1)}(100)\))
 * 122) terridekerated tethrahecton, E100(#^^#^100)^^#^(10)100 (has recursion level \(f_{\varphi(10,\varphi(100,0) + 1)}(100)\))
 * 123) tethradeuterhecton, E100(#^^#^100)^^#^(100)100 (has recursion level \(f_{\varphi(100,1)}(100)\))
 * 124) tethratritohecton, E100((#^^#^100)^^#^100)^^#^(100)100 (has recursion level \(f_{\varphi(100,2)}(100)\))
 * 125) tethratetertohecton, E100#^^#^(100)>#4 (has recursion level \(f_{\varphi(100,3)}(100)\))
 * 126) tethrapeptohecton, E100#^^#^(100)>#5 (has recursion level \(f_{\varphi(100,4)}(100)\))
 * 127) tethraextohecton, E100#^^#^(100)>#6 (has recursion level \(f_{\varphi(100,5)}(100)\))
 * 128) tethraeptohecton, E100#^^#^(100)>#7 (has recursion level \(f_{\varphi(100,6)}(100)\))
 * 129) tethraogdohecton, E100#^^#^(100)>#8 (has recursion level \(f_{\varphi(100,7)}(100)\))
 * 130) tethraentohecton, E100#^^#^(100)>#9 (has recursion level \(f_{\varphi(100,8)}(100)\))
 * 131) tethradekatohecton, E100#^^#^(100)>#10 (has recursion level \(f_{\varphi(100,9)}(100)\))
 * 132) tethriterhecton, E100#^^#^(100)>#100 (has recursion level \(f_{\varphi(100,\omega)}(100)\))
 * 133) deuterhyperion-turreted-tethrahecton, E100#^^#^(100)>##100 (has recursion level \(f_{\varphi(100,\omega^2)}(100)\))
 * 134) tritohyperion-turreted-tethrahecton, E100#^^#^(100)>###100 (has recursion level \(f_{\varphi(100,\omega^3)}(100)\))
 * 135) tetertohyperion-turreted-tethrahecton, E100#^^#^(100)>####100 (has recursion level \(f_{\varphi(100,\omega^4)}(100)\))
 * 136) peptohyperion-turreted-tethrahecton, E100#^^#^(100)>#^#5 (has recursion level \(f_{\varphi(100,\omega^5)}(100)\))
 * 137) godgahlah-turreted-tethrahecton, E100#^^#^(100)>#^#100 (has recursion level \(f_{\varphi(100,\omega^{\omega})}(100)\))
 * 138) godgathor-turreted-tethrahecton, E100#^^#^(100)>#^#^#100 (has recursion level \(f_{\varphi(100,\omega^{\omega^{\omega}})}(100)\))
 * 139) godtothol-turreted-tethrahecton, E100#^^#^(100)>#^#^#^#100 (has recursion level \(f_{\varphi(100,\omega^{\omega^{\omega^{\omega}}})}(100)\))
 * 140) tethrathoth-turreted-tethrahecton, E100#^^#^(100)>#^^#100 (has recursion level \(f_{\varphi(100,\varepsilon_0)}(100)\))
 * 141) tethracross-turreted-tethrahecton, E100#^^#^(100)>#^^##100 (has recursion level \(f_{\varphi(100,\zeta_0)}(100)\))
 * 142) tethracubor-turreted-tethrahecton, E100#^^#^(100)>#^^###100 (has recursion level \(f_{\varphi(100,\eta_0)}(100)\))
 * 143) tethrateron-turreted-tethrahecton, E100#^^#^(100)>#^^####100 (has recursion level \(f_{\varphi(100,\varphi(4,0))}(100)\))
 * 144) tethrapeton-turreted-tethrahecton, E100#^^#^(100)>#^^#^(5)100 (has recursion level \(f_{\varphi(100,\varphi(5,0))}(100)\))
 * 145) dustaculated-tethrahecton, E100#^^#^(100)>#^^#^(100)100 (has recursion level \(f_{\varphi(100,\varphi(100,0))}(100)\))
 * 146) tristaculated-tethrahecton, E100#^^#^(100)>#^^#^(100)>#^^#^(100)100 (has recursion level \(f_{\varphi(100,\varphi(100,\varphi(100,0)))}(100)\))
 * 147) tetrastaculated-tethrahecton, E100#^^#^(100)>#^^#^(100)>#^^#^(100)>#^^#^(100)100 (has recursion level \(f_{\varphi(100,\varphi(100,\varphi(100,\varphi(100,0))))}(100)\))
 * 148) pentastaculated-tethrahecton, E100#^^#^(101)5 (has recursion level \(f_{\varphi(101,0)[4]}(100)\))
 * 149) hexastaculated-tethrahecton, E100#^^#^(101)6 (has recursion level \(f_{\varphi(101,0)[5]}(100)\))
 * 150) heptastaculated-tethrahecton, E100#^^#^(101)7 (has recursion level \(f_{\varphi(101,0)[6]}(100)\))
 * 151) octastaculated-tethrahecton, E100#^^#^(101)8 (has recursion level \(f_{\varphi(101,0)[7]}(100)\))
 * 152) ennastaculated-tethrahecton, E100#^^#^(101)9 (has recursion level \(f_{\varphi(101,0)[8]}(100)\))
 * 153) dekastaculated-tethrahecton, E100#^^#^(101)10 (has recursion level \(f_{\varphi(101,0)[9]}(100)\))
 * 154) hecastaculated-tethrahecton or tethrahectothoth, E100#^^#^(101)100 (has recursion level \(f_{\varphi(101,0)}(100)\))
 * 155) tethrahectocross, E100#^^#^(102)100 (has recursion level \(f_{\varphi(102,0)}(100)\))
 * 156) tethrahectocubor, E100#^^#^(103)100 (has recursion level \(f_{\varphi(103,0)}(100)\))
 * 157) tethrahectoteron, E100#^^#^(104)100 (has recursion level \(f_{\varphi(104,0)}(100)\))
 * 158) tethrahectopeton, E100#^^#^(105)100 (has recursion level \(f_{\varphi(105,0)}(100)\))
 * 159) tethrahectohexon, E100#^^#^(106)100 (has recursion level \(f_{\varphi(106,0)}(100)\))
 * 160) tethrahectohepton, E100#^^#^(107)100 (has recursion level \(f_{\varphi(107,0)}(100)\))
 * 161) tethrahecto-ogdon, E100#^^#^(108)100 (has recursion level \(f_{\varphi(108,0)}(100)\))
 * 162) tethrahectennon, E100#^^#^(109)100 (has recursion level \(f_{\varphi(109,0)}(100)\))
 * 163) tethrahectodekon, E100#^^#^(110)100 (has recursion level \(f_{\varphi(110,0)}(100)\))
 * 164) tethrahecto-icoson, E100#^^#^(120)100 (has recursion level \(f_{\varphi(120,0)}(100)\))
 * 165) tethrahecto-trianton, E100#^^#^(130)100 (has recursion level \(f_{\varphi(130,0)}(100)\))
 * 166) tethrahecto-saranton, E100#^^#^(140)100 (has recursion level \(f_{\varphi(140,0)}(100)\))
 * 167) tethrahecto-peninton, E100#^^#^(150)100 (has recursion level \(f_{\varphi(150,0)}(100)\))
 * 168) tethrahecto-exinton, E100#^^#^(160)100 (has recursion level \(f_{\varphi(160,0)}(100)\))
 * 169) tethrahecto-ebdominton, E100#^^#^(170)100 (has recursion level \(f_{\varphi(170,0)}(100)\))
 * 170) tethrahecto-ogdonton, E100#^^#^(180)100 (has recursion level \(f_{\varphi(180,0)}(100)\))
 * 171) tethrahecto-eneninton, E100#^^#^(190)100 (has recursion level \(f_{\varphi(190,0)}(100)\))
 * 172) tethraduhecton, E100#^^#^(200)100 (has recursion level \(f_{\varphi(200,0)}(100)\))
 * 173) tethratrihecton, E100#^^#^(300)100 = E100#^^#^#300 (has recursion level \(f_{\varphi(300,0)}(100) \approx f_{\varphi(\omega,0)}(300)\))
 * 174) tethratetrahecton, E100#^^#^#400 (has recursion level \(f_{\varphi(\omega,0)}(400)\))
 * 175) tethrapentahecton, E100#^^#^#500 (has recursion level \(f_{\varphi(\omega,0)}(500)\))
 * 176) tethratopoding, E500#^^#^#500 (has recursion level \(f_{\varphi(\omega,0)}(500)\))
 * 177) tethrahexahecton, E100#^^#^#600 (has recursion level \(f_{\varphi(\omega,0)}(600)\))
 * 178) tethraheptahecton, E100#^^#^#700 (has recursion level \(f_{\varphi(\omega,0)}(700)\))
 * 179) tethraoctahecton, E100#^^#^#800 (has recursion level \(f_{\varphi(\omega,0)}(800)\))
 * 180) tethranonahecton, E100#^^#^#900 (has recursion level \(f_{\varphi(\omega,0)}(900)\))
 * 181) (9029) tethrachillion, E100#^^#^#1000 (has recursion level \(f_{\varphi(\omega,0)}(1\,000)\))
 * 182) tethratopochime, E1000#^^#^#1000 (has recursion level \(f_{\varphi(\omega,0)}(1\,000)\))
 * 183) tethratopobell, E5000#^^#^#5000 (has recursion level \(f_{\varphi(\omega,0)}(5\,000)\))
 * 184) (9030) tethramyrion, E100#^^#^#10,000 (has recursion level \(f_{\varphi(\omega,0)}(10\,000)\))
 * 185) tethratopotoll, E10,000#^^#^#10,000 (has recursion level \(f_{\varphi(\omega,0)}(10\,000)\))
 * 186) tethratoporing, E50,000#^^#^#50,000 (has recursion level \(f_{\varphi(\omega,0)}(50\,000)\))
 * 187) (9031) tethrahecatochillion, E100#^^#^#100,000 (has recursion level \(f_{\varphi(\omega,0)}(100\,000)\))
 * 188) tethratopogong, E100,000#^^#^#100,000 (has recursion level \(f_{\varphi(\omega,0)}(100\,000)\))
 * 189) tethratopoclang, E500,000#^^#^#500,000 (has recursion level \(f_{\varphi(\omega,0)}(500\,000)\))
 * 190) (9032) tethrahecatomyrion or tethramejon, E100#^^#^#1,000,000 (has recursion level \(f_{\varphi(\omega,0)}(1\,000\,000)\))
 * 191) (9033) tethrachilliomyrion, E100#^^#^#10,000,000 (has recursion level \(f_{\varphi(\omega,0)}(10\,000\,000)\))
 * 192) (9034) tethraoctadion, E100#^^#^#100,000,000 (has recursion level \(f_{\varphi(\omega,0)}(100\,000\,000)\))
 * 193) tethratopobong, E(108)#^^#^#(108) (has recursion level \(f_{\varphi(\omega,0)}(100\,000\,000)\))
 * 194) (9035) tethragijon, E100#^^#^#1,000,000,000 (has recursion level \(f_{\varphi(\omega,0)}(1\,000\,000\,000)\))
 * 195) tethratopothrong, E(1011)#^^#^#(1011) (has recursion level \(f_{\varphi(\omega,0)}(10^{11})\))
 * 196) (9036) tethra-aston, E100#^^#^#E12 (has recursion level \(f_{\varphi(\omega,0)}(10^{12})\))
 * 197) (9037) tethralunon, E100(#^^#^1,000,000,000,000,000)100 = E100#^^#^#E15 (has recursion level \(f_{\varphi(\omega,0)}(10^{15})\))
 * 198) (9038) tethrasedenion or (9039) tethrasedenionicor, E100#^^#^#E16 = E100(#^^#^10,000,000,000,000,000)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{16})\))
 * 199) (9040) tethrafirmon, E100#^^#^#E18 = E100(#^^#^1,000,000,000,000,000,000)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{18})\))
 * 200) (9041) tethrajovon, E100#^^#^#E21 = E100#^^#^(E21)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{21})\))
 * 201) (9042) tethrasolon, E100#^^#^#E24 = E100#^^#^(E24)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{24})\))
 * 202) (9043) tethrabeton, E100#^^#^#E27 = E100#^^#^(E27)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{27})\))
 * 203) (9044) tethraglocon, E100#^^#^#E30 = E100#^^#^(E30)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{30})\))
 * 204) (9045) tethragaxon, E100#^^#^#E33 = E100#^^#^(E33)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{33})\))
 * 205) (9046) tethrasupon, E100#^^#^#E36 = E100#^^#^(E36)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{36})\))
 * 206) (9047) tethraverson, E100#^^#^#E39 = E100#^^#^(E39)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{39})\))
 * 207) (9048) tethramulton, E100#^^#^#E42 = E100#^^#^(E42)100 (has recursion level \(f_{\varphi(\omega,0)}(10^{42})\))

E100#^^#^#100#100 - E100#^^#^#100*#3
WIP. Fell free to extend this series by adding more googolisms.