101110100103199 has 16 divisors (see below), whose sum is σ = 116799316243200. Its totient is φ = 86504619160960.

The previous prime is 101110100103161. The next prime is 101110100103211. The reversal of 101110100103199 is 991301001011101.

It is not a de Polignac number, because 101110100103199 - 2¹⁹ = 101110099578911 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 (101110100103139) 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, 18503299 + ... + 23336500.

It is an arithmetic number, because the mean of its divisors is an integer number (7299957265200).

Almost surely, 2^{101110100103199} is an apocalyptic number.

101110100103199 is a deficient number, since it is larger than the sum of its proper divisors (15689216140001).

101110100103199 is a wasteful number, since it uses less digits than its factorization.

101110100103199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41852750.

The product of its (nonzero) digits is 243, while the sum is 28.

The spelling of 101110100103199 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred three thousand, one hundred ninety-nine".