111100111111011 has 64 divisors (see below), whose sum is σ = 166172366610432. Its totient is φ = 65432836800000.

The previous prime is 111100111111001. The next prime is 111100111111063. The reversal of 111100111111011 is 110111111001111.

It is not a de Polignac number, because 111100111111011 - 2³⁸ = 110825233204067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111100111111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6359107006 + ... + 6359124476.

It is an arithmetic number, because the mean of its divisors is an integer number (2596443228288).

Almost surely, 2^{111100111111011} is an apocalyptic number.

111100111111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111100111111011 is a deficient number, since it is larger than the sum of its proper divisors (55072255499421).

111100111111011 is a wasteful number, since it uses less digits than its factorization.

111100111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23644.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 111100111111011 its reverse (110111111001111), we get a palindrome (221211222112122).

It can be divided in two parts, 1111001111 and 11011, that multiplied together give a palindrome (12233233233221).

The spelling of 111100111111011 in words is "one hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, eleven".