102202131013122 has 192 divisors, whose sum is σ = 248767513473024. Its totient is φ = 27857603410560.

The previous prime is 102202131013079. The next prime is 102202131013139. The reversal of 102202131013122 is 221310131202201.

102202131013122 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 2×102202131013122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4045833972 + ... + 4045859232.

It is an arithmetic number, because the mean of its divisors is an integer number (1295664132672).

Almost surely, 2^{102202131013122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202131013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124383756736512).

102202131013122 is an abundant number, since it is smaller than the sum of its proper divisors (146565382459902).

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

102202131013122 is a wasteful number, since it uses less digits than its factorization.

102202131013122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26853 (or 26846 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102202131013122 its reverse (221310131202201), we get a palindrome (323512262215323).

The spelling of 102202131013122 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-one million, thirteen thousand, one hundred twenty-two".