102202102010120 has 96 divisors (see below), whose sum is σ = 268898874785280. Its totient is φ = 34857261290880.

The previous prime is 102202102010119. The next prime is 102202102010123. The reversal of 102202102010120 is 21010201202201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102202102010095 and 102202102010104.

It is not an unprimeable number, because it can be changed into a prime (102202102010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136128074 + ... + 136876793.

It is an arithmetic number, because the mean of its divisors is an integer number (2801029945680).

Almost surely, 2^{102202102010120} is an apocalyptic number.

102202102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202102010120 is an abundant number, since it is smaller than the sum of its proper divisors (166696772775160).

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

102202102010120 is a wasteful number, since it uses less digits than its factorization.

102202102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273005083 (or 273005072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202102010120 its reverse (21010201202201), we get a palindrome (123212303212321).

The spelling of 102202102010120 in words is "one hundred two trillion, two hundred two billion, one hundred two million, ten thousand, one hundred twenty".