101011000000999 has 32 divisors (see below), whose sum is σ = 111631776721920. Its totient is φ = 90633688992000.

The previous prime is 101011000000987. The next prime is 101011000001017. The reversal of 101011000000999 is 999000000110101.

It is not a de Polignac number, because 101011000000999 - 2⁹ = 101011000000487 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000000999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000000979) 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, 1781439349 + ... + 1781496049.

It is an arithmetic number, because the mean of its divisors is an integer number (3488493022560).

Almost surely, 2^{101011000000999} is an apocalyptic number.

101011000000999 is a deficient number, since it is larger than the sum of its proper divisors (10620776720921).

101011000000999 is a wasteful number, since it uses less digits than its factorization.

101011000000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60031.

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

The spelling of 101011000000999 in words is "one hundred one trillion, eleven billion, nine hundred ninety-nine", and thus it is an aban number.