21120211110120 has 64 divisors (see below), whose sum is σ = 63941923584000. Its totient is φ = 5580386051328.

The previous prime is 21120211110107. The next prime is 21120211110161. The reversal of 21120211110120 is 2101111202112.

It is a happy number.

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 21120211110120.

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 15 ways as a sum of consecutive naturals, for example, 807334440 + ... + 807360599.

It is an arithmetic number, because the mean of its divisors is an integer number (999092556000).

Almost surely, 2^{21120211110120} is an apocalyptic number.

21120211110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120211110120 is an abundant number, since it is smaller than the sum of its proper divisors (42821712473880).

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

21120211110120 is a wasteful number, since it uses less digits than its factorization.

21120211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614695162 (or 1614695158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21120211110120 its reverse (2101111202112), we get a palindrome (23221322312232).

The spelling of 21120211110120 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".