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The tetroogola-carta-tethrathoth (formerly teroogola-carta-tethrathoth) is equal to E100#^^#100####100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

It is called terootethrathoth by Aarex Tiaokhiao. It is equal to E100#^^#100####100 in Nested Cascading-E Notation.[2]

## Etymology

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

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100,99,99,99 (X \uparrow\uparrow X) 2\}$$[3]
Bird's array notation $$\{100,100,99,99,99 [1 \backslash 2] 2\}$$
Hyperfactorial array notation $$100![[1,99,2],1,1,1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0+(\omega^2) 98+\omega 98+99}(100)$$
Hardy hierarchy $$H_{\varepsilon_0 \omega^{(\omega^2) 98+\omega 98+99}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2}+(\Omega^2) 98+\Omega 98+98)}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2015-12-06.
2. Large Numbers by Aarex Tiaokhiao
3. Using particular notation $$\{a,b (X \uparrow\uparrow X) 2\}$$ for $$X \uparrow\uparrow b \&\ a$$