11100100109975 has 48 divisors (see below), whose sum is σ = 14226435003456. Its totient is φ = 8585057664000.

The previous prime is 11100100109951. The next prime is 11100100110013. The reversal of 11100100109975 is 57990100100111.

It is not a de Polignac number, because 11100100109975 - 2²⁴ = 11100083332759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91132115 + ... + 91253835.

It is an arithmetic number, because the mean of its divisors is an integer number (296384062572).

Almost surely, 2^{11100100109975} is an apocalyptic number.

11100100109975 is a deficient number, since it is larger than the sum of its proper divisors (3126334893481).

11100100109975 is a wasteful number, since it uses less digits than its factorization.

11100100109975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122396 (or 122391 counting only the distinct ones).

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

The spelling of 11100100109975 in words is "eleven trillion, one hundred billion, one hundred million, one hundred nine thousand, nine hundred seventy-five".