It is a de Polignac number, because none of the positive numbers 2k-111001011001001 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 111001011001001.
Almost surely, 2111001011001001 is an apocalyptic number.
111001011001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
111001011001001 is a wasteful number, since it uses less digits than its factorization.
111001011001001 is an evil number, because the sum of its binary digits is even.
Adding to 111001011001001 its reverse (100100110100111), we get a palindrome (211101121101112).
The spelling of 111001011001001 in words is "one hundred eleven trillion, one billion, eleven million, one thousand, one".