102132212313121 has 16 divisors (see below), whose sum is σ = 102603159751680. Its totient is φ = 101662065971280.

The previous prime is 102132212313097. The next prime is 102132212313137. The reversal of 102132212313121 is 121313212231201.

It is a cyclic number.

It is not a de Polignac number, because 102132212313121 - 2¹³ = 102132212304929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132212313191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869590036 + ... + 2869625626.

It is an arithmetic number, because the mean of its divisors is an integer number (6412697484480).

Almost surely, 2^{102132212313121} is an apocalyptic number.

It is an amenable number.

102132212313121 is a deficient number, since it is larger than the sum of its proper divisors (470947438559).

102132212313121 is a wasteful number, since it uses less digits than its factorization.

102132212313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46476.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102132212313121 its reverse (121313212231201), we get a palindrome (223445424544322).

The spelling of 102132212313121 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twelve million, three hundred thirteen thousand, one hundred twenty-one".