102121313131 has 4 divisors (see below), whose sum is σ = 102548599200. Its totient is φ = 101694027064.

The previous prime is 102121313111. The next prime is 102121313257. The reversal of 102121313131 is 131313121201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131313121201 = 5851 ⋅22442851.

It is a cyclic number.

It is not a de Polignac number, because 102121313131 - 2²⁵ = 102087758699 is a prime.

It is a super-2 number, since 2×102121313131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102121313099 and 102121313108.

It is not an unprimeable number, because it can be changed into a prime (102121313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213642676 + ... + 213643153.

It is an arithmetic number, because the mean of its divisors is an integer number (25637149800).

Almost surely, 2^102121313131 is an apocalyptic number.

102121313131 is a deficient number, since it is larger than the sum of its proper divisors (427286069).

102121313131 is an equidigital number, since it uses as much as digits as its factorization.

102121313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427286068.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102121313131 its reverse (131313121201), we get a palindrome (233434434332).

The spelling of 102121313131 in words is "one hundred two billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-one".