100011000100999 has 16 divisors (see below), whose sum is σ = 113373572579680. Its totient is φ = 87458411335680.

The previous prime is 100011000100987. The next prime is 100011000101003. The reversal of 100011000100999 is 999001000110001.

It is a cyclic number.

It is not a de Polignac number, because 100011000100999 - 2⁵ = 100011000100967 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 100011000100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000100699) 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, 36744079 + ... + 39371935.

It is an arithmetic number, because the mean of its divisors is an integer number (7085848286230).

Almost surely, 2^{100011000100999} is an apocalyptic number.

100011000100999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100011000100999 is a deficient number, since it is larger than the sum of its proper divisors (13362572478681).

100011000100999 is a wasteful number, since it uses less digits than its factorization.

100011000100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781970.

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

The spelling of 100011000100999 in words is "one hundred trillion, eleven billion, one hundred thousand, nine hundred ninety-nine".