102202131020210 has 128 divisors (see below), whose sum is σ = 206210188800000. Its totient is φ = 36210806940672.

The previous prime is 102202131020207. The next prime is 102202131020233. The reversal of 102202131020210 is 12020131202201.

102202131020210 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 2×102202131020210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503483816 + ... + 503686764.

It is an arithmetic number, because the mean of its divisors is an integer number (1611017100000).

Almost surely, 2^{102202131020210} is an apocalyptic number.

102202131020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102202131020210 is an abundant number, since it is smaller than the sum of its proper divisors (104008057779790).

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

102202131020210 is a wasteful number, since it uses less digits than its factorization.

102202131020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203820.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102202131020210 its reverse (12020131202201), we get a palindrome (114222262222411).

The spelling of 102202131020210 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-one million, twenty thousand, two hundred ten".