21121310100 has 144 divisors (see below), whose sum is σ = 70175508480. Its totient is φ = 4850812800.

The previous prime is 21121310087. The next prime is 21121310141. The reversal of 21121310100 is 101312112.

It is a super-2 number, since 2×21121310100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 105732 + ... + 231131.

It is an arithmetic number, because the mean of its divisors is an integer number (487329920).

Almost surely, 2^21121310100 is an apocalyptic number.

21121310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121310100 is an abundant number, since it is smaller than the sum of its proper divisors (49054198380).

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

21121310100 is a wasteful number, since it uses less digits than its factorization.

21121310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336910 (or 336903 counting only the distinct ones).

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

Adding to 21121310100 its reverse (101312112), we get a palindrome (21222622212).

The spelling of 21121310100 in words is "twenty-one billion, one hundred twenty-one million, three hundred ten thousand, one hundred".