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The tethrathoth ba'al or ninety-nine-ex-terrible tethrathoth (also called tethriterator[1]) is equal to E100#^^#>#100 = E100(...(#^^#)^^#)^^#)...)^^#100 (with 100 ^^#'s) in Extended Cascading-E Notation.[2][3] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the word "ba'al" and the number "tethrathoth".

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100 (X \uparrow\uparrow (X^2)) 2\}$$[4]
Bird's array notation $$\{100,100 [1 \backslash 1,2] 2\}$$
X-Sequence Hyper-Exponential Notation $$100\{X>X\}100$$
Fast-growing hierarchy $$f_{\varepsilon_{99}}(100)$$
Hardy hierarchy $$H_{\varepsilon_{99}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega 100 + 1})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-03-19.
2. 4.3.5 Cascading-E Numbers by Sbiis Saibian
3. Sbiis Saibian's Ultimate Large Numbers List - Part III
4. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.