The giggolunex is equal to s(10,giggol) = s(10,101,2) using strong array notation, or \(10\uparrow\uparrow101\) or 10110. The term was coined by Aarex Tiaokhiao. It is equal to 1 followed by giggol zeroes. Username5243 calls this number Doogolunex, and it's equal to 10[1]10[2]100 = 10[2]101 in Username5243's Array Notation.