102112010100319 has 2 divisors, whose sum is σ = 102112010100320. Its totient is φ = 102112010100318.

The previous prime is 102112010100313. The next prime is 102112010100329. The reversal of 102112010100319 is 913001010211201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102112010100319 - 2²⁹ = 102111473229407 is a prime.

It is a super-2 number, since 2×102112010100319² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102112010100319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112010100313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056005050159 + 51056005050160.

It is an arithmetic number, because the mean of its divisors is an integer number (51056005050160).

Almost surely, 2^{102112010100319} is an apocalyptic number.

102112010100319 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112010100319 is an equidigital number, since it uses as much as digits as its factorization.

102112010100319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 102112010100319 in words is "one hundred two trillion, one hundred twelve billion, ten million, one hundred thousand, three hundred nineteen".