100101011009975 has 48 divisors (see below), whose sum is σ = 125572558288320. Its totient is φ = 79150213939200.

The previous prime is 100101011009957. The next prime is 100101011009999. The reversal of 100101011009975 is 579900110101001.

It is not a de Polignac number, because 100101011009975 - 2⁸ = 100101011009719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3003404111 + ... + 3003437439.

It is an arithmetic number, because the mean of its divisors is an integer number (2616094964340).

Almost surely, 2^{100101011009975} is an apocalyptic number.

100101011009975 is a deficient number, since it is larger than the sum of its proper divisors (25471547278345).

100101011009975 is a wasteful number, since it uses less digits than its factorization.

100101011009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35660 (or 35655 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 35.

The spelling of 100101011009975 in words is "one hundred trillion, one hundred one billion, eleven million, nine thousand, nine hundred seventy-five".