101001000000999 has 16 divisors (see below), whose sum is σ = 153906638071808. Its totient is φ = 57714725009952.

The previous prime is 101001000000983. The next prime is 101001000001001. The reversal of 101001000000999 is 999000000100101.

It is not a de Polignac number, because 101001000000999 - 2⁴ = 101001000000983 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 (101001000000959) 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, 4290849 + ... + 14846325.

It is an arithmetic number, because the mean of its divisors is an integer number (9619164879488).

Almost surely, 2^{101001000000999} is an apocalyptic number.

101001000000999 is a deficient number, since it is larger than the sum of its proper divisors (52905638070809).

101001000000999 is a wasteful number, since it uses less digits than its factorization.

101001000000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11011134.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 101001000000999 in words is "one hundred one trillion, one billion, nine hundred ninety-nine", and thus it is an aban number.