21100011000112 has 40 divisors (see below), whose sum is σ = 44610205848912. Its totient is φ = 9588235526400.

The previous prime is 21100011000073. The next prime is 21100011000149.

21100011000112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16108983 + ... + 17369494.

Almost surely, 2^{21100011000112} is an apocalyptic number.

21100011000112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21100011000112 is an abundant number, since it is smaller than the sum of its proper divisors (23510194848800).

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

21100011000112 is a wasteful number, since it uses less digits than its factorization.

21100011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33482077 (or 33482071 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 2110001 and 1000112, that multiplied together give a palindrome (2110237320112).

The spelling of 21100011000112 in words is "twenty-one trillion, one hundred billion, eleven million, one hundred twelve", and thus it is an aban number.