10100011109975 has 24 divisors (see below), whose sum is σ = 13247557212192. Its totient is φ = 7622831462400.

The previous prime is 10100011109891. The next prime is 10100011109999. The reversal of 10100011109975 is 57990111000101.

It is not a de Polignac number, because 10100011109975 - 2¹⁶ = 10100011044439 is a prime.

It is a super-3 number, since 3×10100011109975³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

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, 120267866 + ... + 120351815.

It is an arithmetic number, because the mean of its divisors is an integer number (551981550508).

Almost surely, 2^{10100011109975} is an apocalyptic number.

10100011109975 is a deficient number, since it is larger than the sum of its proper divisors (3147546102217).

10100011109975 is a wasteful number, since it uses less digits than its factorization.

10100011109975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240619787 (or 240619782 counting only the distinct ones).

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

The spelling of 10100011109975 in words is "ten trillion, one hundred billion, eleven million, one hundred nine thousand, nine hundred seventy-five".