101112120010199 has 16 divisors (see below), whose sum is σ = 101746352655360. Its totient is φ = 100479683986080.

The previous prime is 101112120010193. The next prime is 101112120010271. The reversal of 101112120010199 is 991010021211101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112120010199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120010193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585269689 + ... + 1585333469.

It is an arithmetic number, because the mean of its divisors is an integer number (6359147040960).

Almost surely, 2^{101112120010199} is an apocalyptic number.

101112120010199 is a deficient number, since it is larger than the sum of its proper divisors (634232645161).

101112120010199 is a wasteful number, since it uses less digits than its factorization.

101112120010199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77710.

The product of its (nonzero) digits is 324, while the sum is 29.

The spelling of 101112120010199 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, ten thousand, one hundred ninety-nine".