21123113100 has 72 divisors (see below), whose sum is σ = 61136712000. Its totient is φ = 5630940480.

The previous prime is 21123113051. The next prime is 21123113107. The reversal of 21123113100 is 131132112.

It is a happy number.

It is a super-2 number, since 2×21123113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21123113100.

It is not an unprimeable number, because it can be changed into a prime (21123113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039639 + ... + 1059761.

It is an arithmetic number, because the mean of its divisors is an integer number (849121000).

Almost surely, 2^21123113100 is an apocalyptic number.

21123113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123113100 is an abundant number, since it is smaller than the sum of its proper divisors (40013598900).

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

21123113100 is a wasteful number, since it uses less digits than its factorization.

21123113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23639 (or 23632 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21123113100 its reverse (131132112), we get a palindrome (21254245212).

The spelling of 21123113100 in words is "twenty-one billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred".