101001010009975 has 24 divisors (see below), whose sum is σ = 125294475640320. Its totient is φ = 80766473723520.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010009975 is 579900010100101.

It is not a de Polignac number, because 101001010009975 - 2³ = 101001010009967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001010009975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099396221 + ... + 2099444329.

It is an arithmetic number, because the mean of its divisors is an integer number (5220603151680).

Almost surely, 2^{101001010009975} is an apocalyptic number.

101001010009975 is a deficient number, since it is larger than the sum of its proper divisors (24293465630345).

101001010009975 is a wasteful number, since it uses less digits than its factorization.

101001010009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82059 (or 82054 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 34.

The spelling of 101001010009975 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred seventy-five".