21113012100 has 144 divisors (see below), whose sum is σ = 63809665920. Its totient is φ = 5382988800.

The previous prime is 21113012093. The next prime is 21113012111. The reversal of 21113012100 is 121031112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884320 + ... + 907880.

It is an arithmetic number, because the mean of its divisors is an integer number (443122680).

Almost surely, 2^21113012100 is an apocalyptic number.

21113012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31904832960).

21113012100 is an abundant number, since it is smaller than the sum of its proper divisors (42696653820).

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

21113012100 is a wasteful number, since it uses less digits than its factorization.

21113012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23710 (or 23703 counting only the distinct ones).

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

Adding to 21113012100 its reverse (121031112), we get a palindrome (21234043212).

The spelling of 21113012100 in words is "twenty-one billion, one hundred thirteen million, twelve thousand, one hundred".