202102210111120 has 40 divisors (see below), whose sum is σ = 512604696556800. Its totient is φ = 73491712767360.

The previous prime is 202102210111117. The next prime is 202102210111181. The reversal of 202102210111120 is 21111012201202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202102210111094 and 202102210111103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114830800320 + ... + 114830802079.

It is an arithmetic number, because the mean of its divisors is an integer number (12815117413920).

Almost surely, 2^{202102210111120} is an apocalyptic number.

202102210111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102210111120 is an abundant number, since it is smaller than the sum of its proper divisors (310502486445680).

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

202102210111120 is a wasteful number, since it uses less digits than its factorization.

202102210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229661602423 (or 229661602417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202102210111120 its reverse (21111012201202), we get a palindrome (223213222312322).

The spelling of 202102210111120 in words is "two hundred two trillion, one hundred two billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".