21100000112 has 20 divisors (see below), whose sum is σ = 40895677896. Its totient is φ = 10546276800.

The previous prime is 21100000069. The next prime is 21100000123.

21100000112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21100000112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185663 + ... + 276894.

Almost surely, 2^21100000112 is an apocalyptic number.

It is an amenable number.

21100000112 is a deficient number, since it is larger than the sum of its proper divisors (19795677784).

21100000112 is a wasteful number, since it uses less digits than its factorization.

21100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465416 (or 465410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 21100000 and 112, that added together give a palindrome (21100112).

The spelling of 21100000112 in words is "twenty-one billion, one hundred million, one hundred twelve", and thus it is an aban number.