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A fzgoogolplex is a googolplex to the power of a googolplex = $$\text{googolplex}^{\text{googolplex}} = 10^{10^{10^{100}+100}}$$.[1][2]

Although Fzgoogolplex seems only "slightly" larger than a googolduplex, it is actually equal to googolduplexgoogol. Thus, arithmetically it is vastly larger. This is an example of the power-tower paradox.

## Approximations

Notation Approximation
Arrow notation $$(10\uparrow(10\uparrow100))\uparrow\uparrow2$$ (exact)
Fast-growing hierarchy $$f_2^3(324)$$