11101100109975 has 48 divisors (see below), whose sum is σ = 20424652381440. Its totient is φ = 5911435663200.

The previous prime is 11101100109971. The next prime is 11101100110039. The reversal of 11101100109975 is 57990100110111.

It is not a de Polignac number, because 11101100109975 - 2² = 11101100109971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100109971) by changing a digit.

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, 12272761 + ... + 13146210.

It is an arithmetic number, because the mean of its divisors is an integer number (425513591280).

Almost surely, 2^{11101100109975} is an apocalyptic number.

11101100109975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11101100109975 is a deficient number, since it is larger than the sum of its proper divisors (9323552271465).

11101100109975 is a wasteful number, since it uses less digits than its factorization.

11101100109975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25419637 (or 25419626 counting only the distinct ones).

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

The spelling of 11101100109975 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred nine thousand, nine hundred seventy-five".