Number #001000GODLY

First 2 digits mirror the last 2 digits (e.g. 42xx24)

Contains 5 identical digits (e.g. 888882)

Digits composed strictly of 0s and 1s (e.g. 100110)

Only 2 unique digit types across all 6 positions

The number is an exact integer cube

Every digit belongs to Fibonacci {0, 1, 2, 3, 5, 8}

Sum of all digits is 3 or less