102313000211121 has 24 divisors (see below), whose sum is σ = 176241027281280. Its totient is φ = 55922633654976.

The previous prime is 102313000211113. The next prime is 102313000211129. The reversal of 102313000211121 is 121112000313201.

102313000211121 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 300 + 0 + 211 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (102313000211113) and next prime (102313000211129).

It is not a de Polignac number, because 102313000211121 - 2³ = 102313000211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102313000211094 and 102313000211103.

It is not an unprimeable number, because it can be changed into a prime (102313000211129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35304691516 + ... + 35304694413.

It is an arithmetic number, because the mean of its divisors is an integer number (7343376136720).

Almost surely, 2^{102313000211121} is an apocalyptic number.

It is an amenable number.

102313000211121 is a deficient number, since it is larger than the sum of its proper divisors (73928027070159).

102313000211121 is a wasteful number, since it uses less digits than its factorization.

102313000211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70609385965 (or 70609385962 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102313000211121 its reverse (121112000313201), we get a palindrome (223425000524322).

The spelling of 102313000211121 in words is "one hundred two trillion, three hundred thirteen billion, two hundred eleven thousand, one hundred twenty-one".