21102211120 has 80 divisors (see below), whose sum is σ = 51274878912. Its totient is φ = 8061419520.

The previous prime is 21102211087. The next prime is 21102211139. The reversal of 21102211120 is 2111220112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21102211120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229800 + ... + 1246840.

Almost surely, 2^21102211120 is an apocalyptic number.

21102211120 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 21102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637439456).

21102211120 is an abundant number, since it is smaller than the sum of its proper divisors (30172667792).

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

21102211120 is a wasteful number, since it uses less digits than its factorization.

21102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17750 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21102211120 its reverse (2111220112), we get a palindrome (23213431232).

The spelling of 21102211120 in words is "twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty".