100101011109975 has 72 divisors (see below), whose sum is σ = 196869683752560. Its totient is φ = 50246781995520.

The previous prime is 100101011109949. The next prime is 100101011109977. The reversal of 100101011109975 is 579901110101001.

It is not a de Polignac number, because 100101011109975 - 2⁵ = 100101011109943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011109977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484530040 + ... + 484736589.

It is an arithmetic number, because the mean of its divisors is an integer number (2734301163230).

Almost surely, 2^{100101011109975} is an apocalyptic number.

100101011109975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100101011109975 is a deficient number, since it is larger than the sum of its proper divisors (96768672642585).

100101011109975 is an equidigital number, since it uses as much as digits as its factorization.

100101011109975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969266671 (or 969266654 counting only the distinct ones).

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

The spelling of 100101011109975 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred nine thousand, nine hundred seventy-five".