100100110109975 has 12 divisors (see below), whose sum is σ = 131425556333184. Its totient is φ = 75369494670720.

The previous prime is 100100110109921. The next prime is 100100110109981. The reversal of 100100110109975 is 579901011001001.

It is not a de Polignac number, because 100100110109975 - 2¹⁴ = 100100110093591 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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117764834999 + ... + 117764835848.

It is an arithmetic number, because the mean of its divisors is an integer number (10952129694432).

Almost surely, 2^{100100110109975} is an apocalyptic number.

100100110109975 is a deficient number, since it is larger than the sum of its proper divisors (31325446223209).

100100110109975 is a wasteful number, since it uses less digits than its factorization.

100100110109975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235529670874 (or 235529670869 counting only the distinct ones).

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

The spelling of 100100110109975 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred nine thousand, nine hundred seventy-five".