2102112322319 has 16 divisors (see below), whose sum is σ = 2122868563200. Its totient is φ = 2081432758080.

The previous prime is 2102112322309. The next prime is 2102112322339. The reversal of 2102112322319 is 9132232112012.

It is a de Polignac number, because none of the positive numbers 2^k-2102112322319 is a prime.

It is a super-2 number, since 2×2102112322319² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102112322291 and 2102112322300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102112322309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113086544 + ... + 113105130.

It is an arithmetic number, because the mean of its divisors is an integer number (132679285200).

Almost surely, 2^{2102112322319} is an apocalyptic number.

2102112322319 is a deficient number, since it is larger than the sum of its proper divisors (20756240881).

2102112322319 is a wasteful number, since it uses less digits than its factorization.

2102112322319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20590.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 2102112322319 in words is "two trillion, one hundred two billion, one hundred twelve million, three hundred twenty-two thousand, three hundred nineteen".