Gigillion

The gigillion is equal to \(10^{3 \cdot 10^{3,000,000,000}+3}\), or \(10^{3 \cdot 10^{3 \cdot \text{billion}} +3}\). The term was coined by Jonathan Bowers.

Etymology
The name of this number is based on the suffix "-illion" and SI prefix "giga-".