101100100000999 has 8 divisors (see below), whose sum is σ = 110291471368848. Its totient is φ = 91908804164160.

The previous prime is 101100100000993. The next prime is 101100100001093. The reversal of 101100100000999 is 999000001001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100100000999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100100000999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100000993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16065742 + ... + 21454795.

It is an arithmetic number, because the mean of its divisors is an integer number (13786433921106).

Almost surely, 2^{101100100000999} is an apocalyptic number.

101100100000999 is a deficient number, since it is larger than the sum of its proper divisors (9191371367849).

101100100000999 is a wasteful number, since it uses less digits than its factorization.

101100100000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37765505.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 101100100000999 in words is "one hundred one trillion, one hundred billion, one hundred million, nine hundred ninety-nine", and thus it is an aban number.