21120202012100 has 144 divisors (see below), whose sum is σ = 49384785838080. Its totient is φ = 7817154998400.

The previous prime is 21120202012067. The next prime is 21120202012139. The reversal of 21120202012100 is 121020202112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193810229 + ... + 193919171.

Almost surely, 2^{21120202012100} is an apocalyptic number.

21120202012100 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 21120202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692392919040).

21120202012100 is an abundant number, since it is smaller than the sum of its proper divisors (28264583825980).

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

21120202012100 is a wasteful number, since it uses less digits than its factorization.

21120202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111730 (or 111723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21120202012100 its reverse (121020202112), we get a palindrome (21241222214212).

It can be divided in two parts, 21120202012 and 100, that added together give a palindrome (21120202112).

The spelling of 21120202012100 in words is "twenty-one trillion, one hundred twenty billion, two hundred two million, twelve thousand, one hundred".