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Tethragodtertol (formerly tethragodtertathol) is equal to E100(#^^#)^#^#^#^#100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the tethrathoth regiment.

## Etymology

The name of this number is based on the number "tethrathoth" and the number "godtertol".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100(X \uparrow\uparrow X*X^{X^{X^X}}) 2\}$$[2]
Bird's array notation $$\{100,100 [1[1,2]2 \backslash 2] 2\}$$
Hyperfactorial array notation $$101![1,[1,[1,1,2,2],1,1,2],[1],1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0^{\omega^{\omega^{\omega^\omega}}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^{\omega^{\omega^{\omega^\omega}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega 2}^{\Omega^{\Omega^{\Omega^\omega}}})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2015-12-09.
2. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.