102122102313 has 144 divisors (see below), whose sum is σ = 199557820800. Its totient is φ = 49588761600.

The previous prime is 102122102311. The next prime is 102122102333. The reversal of 102122102313 is 313201221201.

102122102313 is a `hidden beast` number, since 10 + 212 + 210 + 231 + 3 = 666.

It is not a de Polignac number, because 102122102313 - 2¹ = 102122102311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122102311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12283428 + ... + 12291738.

It is an arithmetic number, because the mean of its divisors is an integer number (1385818200).

Almost surely, 2^102122102313 is an apocalyptic number.

It is an amenable number.

102122102313 is a deficient number, since it is larger than the sum of its proper divisors (97435718487).

102122102313 is a wasteful number, since it uses less digits than its factorization.

102122102313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102122102313 its reverse (313201221201), we get a palindrome (415323323514).

The spelling of 102122102313 in words is "one hundred two billion, one hundred twenty-two million, one hundred two thousand, three hundred thirteen".