101012111000999 has 6 divisors (see below), whose sum is σ = 111029841017760. Its totient is φ = 91829191818980.

The previous prime is 101012111000981. The next prime is 101012111001013. The reversal of 101012111000999 is 999000111210101.

It is not a de Polignac number, because 101012111000999 - 2³⁶ = 100943391524263 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 (101012111000929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417405417239 + ... + 417405417480.

It is an arithmetic number, because the mean of its divisors is an integer number (18504973502960).

Almost surely, 2^{101012111000999} is an apocalyptic number.

101012111000999 is a deficient number, since it is larger than the sum of its proper divisors (10017730016761).

101012111000999 is an equidigital number, since it uses as much as digits as its factorization.

101012111000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834810834741 (or 834810834730 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 35.

The spelling of 101012111000999 in words is "one hundred one trillion, twelve billion, one hundred eleven million, nine hundred ninety-nine", and thus it is an aban number.