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Monster-Giant is equal to E100(#^^#)^(#^^#)^#100 = E100(#^^#)^(#^^#*#^^#...#^^#*#^^#)100 (with 100 #^^#'s in the hyper-product) in Extended Cascading-E Notation.[1][2] The term was coined by Sbiis Saibian.

## Approximations in other notations

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

## Sources

1. 4.3.5 Cascading-E Numbers by Sbiis Saibian
2. Sbiis Saibian's Ultimate Large Numbers List - Part III
3. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.