102314313101 has 64 divisors (see below), whose sum is σ = 140176866816. Its totient is φ = 72105984000.

The previous prime is 102314313083. The next prime is 102314313137. The reversal of 102314313101 is 101313413201.

It is a cyclic number.

It is not a de Polignac number, because 102314313101 - 2⁶ = 102314313037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314373101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9801581 + ... + 9812013.

It is an arithmetic number, because the mean of its divisors is an integer number (2190263544).

Almost surely, 2^102314313101 is an apocalyptic number.

102314313101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102314313101 is a deficient number, since it is larger than the sum of its proper divisors (37862553715).

102314313101 is a wasteful number, since it uses less digits than its factorization.

102314313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102314313101 its reverse (101313413201), we get a palindrome (203627726302).

The spelling of 102314313101 in words is "one hundred two billion, three hundred fourteen million, three hundred thirteen thousand, one hundred one".