202121112120 has 128 divisors (see below), whose sum is σ = 649828016640. Its totient is φ = 50162112000.

The previous prime is 202121112107. The next prime is 202121112163. The reversal of 202121112120 is 21211121202.

202121112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202121112120² (a number of 23 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 202121112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887506 + ... + 1091745.

It is an arithmetic number, because the mean of its divisors is an integer number (5076781380).

Almost surely, 2^202121112120 is an apocalyptic number.

202121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121112120 is an abundant number, since it is smaller than the sum of its proper divisors (447706904520).

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

202121112120 is a wasteful number, since it uses less digits than its factorization.

202121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979325 (or 1979321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202121112120 its reverse (21211121202), we get a palindrome (223332233322).

The spelling of 202121112120 in words is "two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".