100111001000999 has 2 divisors, whose sum is σ = 100111001001000. Its totient is φ = 100111001000998.

The previous prime is 100111001000981. The next prime is 100111001001031. The reversal of 100111001000999 is 999000100111001.

It is an a-pointer prime, because the next prime (100111001001031) can be obtained adding 100111001000999 to its sum of digits (32).

It is a weak prime.

It is an emirp because it is prime and its reverse (999000100111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111001000999 - 2⁸ = 100111001000743 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001020999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500500499 + 50055500500500.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500500500).

Almost surely, 2^{100111001000999} is an apocalyptic number.

100111001000999 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001000999 is an equidigital number, since it uses as much as digits as its factorization.

100111001000999 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 100111001000999 in words is "one hundred trillion, one hundred eleven billion, one million, nine hundred ninety-nine", and thus it is an aban number.