21111100111112 has 64 divisors (see below), whose sum is σ = 43372000800000. Its totient is φ = 9553704455680.

The previous prime is 21111100111109. The next prime is 21111100111147.

21111100111112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97669814 + ... + 97885722.

It is an arithmetic number, because the mean of its divisors is an integer number (677687512500).

Almost surely, 2^{21111100111112} is an apocalyptic number.

21111100111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111100111112 is an abundant number, since it is smaller than the sum of its proper divisors (22260900688888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21111100111112 is a wasteful number, since it uses less digits than its factorization.

21111100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220814 (or 220810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 21111100 and 111112, that added together give a palindrome (21222212).

The spelling of 21111100111112 in words is "twenty-one trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twelve".