102202131113121 has 32 divisors (see below), whose sum is σ = 146818162552320. Its totient is φ = 62865174528000.

The previous prime is 102202131113107. The next prime is 102202131113171. The reversal of 102202131113121 is 121311131202201.

102202131113121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102202131113121 - 2²¹ = 102202129015969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202131113171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907592221 + ... + 907704821.

It is an arithmetic number, because the mean of its divisors is an integer number (4588067579760).

Almost surely, 2^{102202131113121} is an apocalyptic number.

It is an amenable number.

102202131113121 is a deficient number, since it is larger than the sum of its proper divisors (44616031439199).

102202131113121 is a wasteful number, since it uses less digits than its factorization.

102202131113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122937.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102202131113121 its reverse (121311131202201), we get a palindrome (223513262315322).

The spelling of 102202131113121 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-one".