100102112313 has 32 divisors (see below), whose sum is σ = 161985792000. Its totient is φ = 53711030016.

The previous prime is 100102112303. The next prime is 100102112347. The reversal of 100102112313 is 313211201001.

It is a happy number.

It is not a de Polignac number, because 100102112313 - 2⁵ = 100102112281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102112292 and 100102112301.

It is not an unprimeable number, because it can be changed into a prime (100102112303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065013 + ... + 1155186.

It is an arithmetic number, because the mean of its divisors is an integer number (5062056000).

Almost surely, 2^100102112313 is an apocalyptic number.

It is an amenable number.

100102112313 is a deficient number, since it is larger than the sum of its proper divisors (61883679687).

100102112313 is a wasteful number, since it uses less digits than its factorization.

100102112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220341.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100102112313 its reverse (313211201001), we get a palindrome (413313313314).

The spelling of 100102112313 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, three hundred thirteen".