21121110102120 has 128 divisors (see below), whose sum is σ = 72985433702400. Its totient is φ = 4789669038336.

The previous prime is 21121110102119. The next prime is 21121110102139. The reversal of 21121110102120 is 2120101112112.

It is a happy number.

It is a super-2 number, since 2×21121110102120² (a number of 27 digits) contains 22 as substring.

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 21121110102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98886150 + ... + 99099509.

It is an arithmetic number, because the mean of its divisors is an integer number (570198700800).

Almost surely, 2^{21121110102120} is an apocalyptic number.

21121110102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121110102120 is an abundant number, since it is smaller than the sum of its proper divisors (51864323600280).

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

21121110102120 is a wasteful number, since it uses less digits than its factorization.

21121110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197985807 (or 197985803 counting only the distinct ones).

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

Adding to 21121110102120 its reverse (2120101112112), we get a palindrome (23241211214232).

The spelling of 21121110102120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred two thousand, one hundred twenty".