Giggolplex is also called hectalogialogialogue by Sbiis Saibian, and equal to E1#giggolplex = E1#(E1#100#2) = E1#100#3 in Hyper-E notation. Username5243 calls this number doogolduplex, and it's equal to 10[2]10[2]10[2]100 in Username5243's Array Notation.