2000101112319 has 32 divisors (see below), whose sum is σ = 2892729853440. Its totient is φ = 1224277068800.

The previous prime is 2000101112293. The next prime is 2000101112323. The reversal of 2000101112319 is 9132111010002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2000101112319 - 2²⁴ = 2000084335103 is a prime.

It is a super-2 number, since 2×2000101112319² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000101112295 and 2000101112304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000101112369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59725222 + ... + 59758700.

It is an arithmetic number, because the mean of its divisors is an integer number (90397807920).

Almost surely, 2^{2000101112319} is an apocalyptic number.

2000101112319 is a deficient number, since it is larger than the sum of its proper divisors (892628741121).

2000101112319 is a wasteful number, since it uses less digits than its factorization.

2000101112319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62111.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 2000101112319 in words is "two trillion, one hundred one million, one hundred twelve thousand, three hundred nineteen".