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Not to be confused with googolduplexiduex.

Googolduplexidex is equal to E100#3#2 = E100#googolduplex = 101010...10100 (googolduplex 10's) in Hyper-E notation.[1] The term was coined by Sbiis Saibian. This number belongs to the grangol regiment.

## Approximations

Notation Lower bound Upper bound
Arrow notation $$10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 101$$ $$10 \uparrow\uparrow 10 \uparrow 10 \uparrow 10 \uparrow 102$$
Chained arrow notation $$10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 101))) \rightarrow 2$$ $$10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 102))) \rightarrow 2$$
BEAF & Bird's array notation $$\{10,\{10,\{10,\{10,101\}\}\},2\}$$ $$\{10,\{10,\{10,\{10,102\}\}\},2\}$$
Hyperfactorial array notation $$(((69!)!)!)!1$$ $$(((70!)!)!)!1$$
Fast-growing hierarchy $$f_3(f_2^{3}(324))$$ $$f_3(f_2^{3}(325))$$
Hardy hierarchy $$H_{(\omega^3)+\omega^2 \times 3}(324)$$ $$H_{(\omega^3)+\omega^2 \times 3}(325)$$
Slow-growing hierarchy $$g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^2}}}}}(10)$$ $$g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^2}}}}}(11)$$