10010111000999 has 16 divisors (see below), whose sum is σ = 10805092721280. Its totient is φ = 9242887177440.

The previous prime is 10010111000983. The next prime is 10010111001019. The reversal of 10010111000999 is 99900011101001.

It is a cyclic number.

It is not a de Polignac number, because 10010111000999 - 2⁴ = 10010111000983 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 (10010111000899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12736532 + ... + 13499609.

It is an arithmetic number, because the mean of its divisors is an integer number (675318295080).

Almost surely, 2^{10010111000999} is an apocalyptic number.

10010111000999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10010111000999 is a deficient number, since it is larger than the sum of its proper divisors (794981720281).

10010111000999 is a wasteful number, since it uses less digits than its factorization.

10010111000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26236670.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10010111000999 in words is "ten trillion, ten billion, one hundred eleven million, nine hundred ninety-nine", and thus it is an aban number.