List of googolisms/Tetration level

Smaller numbers

10↑↑10 ~ 10↑↑10100

 * Decker, {10,10,2} = 10↑↑10
 * Googoloctiplex, E100#9
 * Endekalogue, E1#11 = 10↑↑11
 * Googolnoniplex, E100#10
 * Googolnoniplexigong, E100000#10
 * Dodekalogue, E1#12 = 10↑↑12
 * Googoldeciplex, E100#11
 * Triadekalogue, E1#13 = 10↑↑13
 * Googoldeciplexibyte, E8100#11
 * Tetradekalogue, E1#14 = 10↑↑14
 * Pentadekalogue, 10↑↑15
 * Hexadekalogue, 10↑↑16
 * Heptadekalogue, 10↑↑17
 * Octadekalogue, 10↑↑18
 * Ennadekalogue, 10↑↑19
 * Icosalogue, 10↑↑20
 * Qigfol, 10↑↑25
 * Triantalogue, 10↑↑30
 * Guppytrigintiplex, E20#31
 * Terantalogue, 10↑↑40
 * Penantalogue, 10↑↑50
 * Exatalogue, 10↑↑60
 * Eptatalogue, 10↑↑70
 * Ogdatalogue, 10↑↑80
 * Entatalogue, 10↑↑90
 * Binary-giggol, 2↑↑100
 * Octal-giggol, 8↑↑100
 * Giggol, {10,100,2} = 10↑↑100
 * Duodecimal-giggol, 12↑↑100
 * Hexadecimal-giggol, 16↑↑100
 * Vigesimal-giggol, 20↑↑100
 * Sexagesimal-giggol, 60↑↑100
 * Megafugahundred, 100↑↑100
 * Giggolunex, 10↑↑101
 * Grangol, E100#100 ~ 10↑↑101
 * Big Box, \(\boxed{100}\) in Steinhaus-Moser notation ~ E202#100
 * Giggolduunex, 10↑↑102
 * Grangolplex, E100#101 = 10grangol
 * Googolcentiplexibong, E100000000#101
 * Giggoltreunex, 10↑↑103
 * Giggolquadruunex, 10↑↑104
 * Giggolquinunex, 10↑↑105
 * Giggolsexunex, 10↑↑106
 * Giggolseptenunex, 10↑↑107
 * Giggoloctounex, 10↑↑108
 * Expofaxul, 200!1 ~ 10↑↑198
 * Bighol, 10↑↑200
 * Mega, 2[5], 2 in a pentagon (or circle)
 * Googolmilliplex, E100#1001
 * Googolmilliplexigong, E100000#1001
 * Binary-Goodcolduex, 2↑↑1024
 * Giggolgong, 10↑↑100000
 * Grangolgong, E100000#100000 ~ 10↑↑100001
 * Chilia-chilialogue, 10↑↑1000000
 * Googolmegaplex, E100#1000001
 * Googolgigaplex, E100#1000000001
 * Dialogialogue, 10↑↑1010
 * Googolteraplex, E100#(1012+1)
 * Tritri, {3,3,3} = 3↑↑7625597484987
 * Googolpetaplex, E100#(1015+1)
 * Googolexaplex, E100#(1018+1)
 * Googolzettaplex, E100#(1021+1)
 * Googolyottaplex, E100#(1024+1)

10↑↑10100 ~ 10↑↑10↑↑10

 * Zootzoot, \(\text{googol}^{(\text{googol}-1)^{(\text{googol}-2)^{.^{.^{.^{4^{3^{2^1}}}}}}}}\)
 * Googol-stack, 10↑↑10100
 * Googoldex, E100#10100 = E100#1#2
 * Megafugagoogol, 10100↑↑10100
 * Googoldexiplex, E100#(10100+1)
 * Googoldexiduplex, E100#(10100+2)
 * Googolecettaplex, E100#(10300+1)
 * Ecetondex, E303#1#2 ~ 10↑↑10303
 * Grand Faxul, ~ 10↑↑10379
 * Googoltousaplex, E100#(103000+1)
 * Zootzootplex, \(\text{googolplex}^{(\text{googolplex}-1)^{(\text{googolplex}-2)^{.^{.^{.^{4^{3^{2^1}}}}}}}}\)
 * Googolplexstack, 10↑↑1010 100
 * Googolplexidex, E100#1010 100 = E100#2#2
 * Googolplexidexiplex, E100#(1010 100 +1)
 * Megafugagoogolplex, googolplex↑↑googolplex
 * Googolplexidexiduplex, E100#(1010 100 +2)
 * Grand Kilofaxul, ~ 10↑↑1010 379
 * Googolduplexidex, E100#1010 10 100 = E100#3#2
 * Megafugagargoogolplex, googolduplex↑↑googolduplex
 * Grand Megafaxul, ~ 10↑↑(E379#3)
 * Googoltriplexidex, E100#4#2
 * Megafugagargantugoogolplex, googoltriplex↑↑googoltriplex
 * Grand Gigafaxul, ~ 10↑↑(E379#4)
 * Googolquadriplexidex, E100#5#2
 * Grand Terafaxul, ~ 10↑↑(E379#5)
 * Googolquintiplexidex, E100#6#2
 * Grand Petafaxul, ~ 10↑↑(E379#6)
 * Googolsextiplexidex, E100#7#2
 * Grand Exafaxul, ~ 10↑↑(E379#7)
 * Googolseptiplexidex, E100#8#2

Larger numbers