11101101009975 has 72 divisors (see below), whose sum is σ = 19911942831872. Its totient is φ = 5912065843200.

The previous prime is 11101101009967. The next prime is 11101101010007. The reversal of 11101101009975 is 57990010110111.

11101101009975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11101101009975 - 2³ = 11101101009967 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 516776235 + ... + 516797715.

Almost surely, 2^{11101101009975} is an apocalyptic number.

11101101009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11101101009975 is a deficient number, since it is larger than the sum of its proper divisors (8810841821897).

11101101009975 is a wasteful number, since it uses less digits than its factorization.

11101101009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24697 (or 24689 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 36.

The spelling of 11101101009975 in words is "eleven trillion, one hundred one billion, one hundred one million, nine thousand, nine hundred seventy-five".