101113212219975 has 240 divisors, whose sum is σ = 194043001405440. Its totient is φ = 51997617446400.

The previous prime is 101113212219883. The next prime is 101113212220043. The reversal of 101113212219975 is 579912212311101.

It is a happy number.

101113212219975 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 321 + 221 + 9 + 97 + 5 = 666.

It is not a de Polignac number, because 101113212219975 - 2⁷ = 101113212219847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101113212219975.

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 239 ways as a sum of consecutive naturals, for example, 27908696014 + ... + 27908699636.

It is an arithmetic number, because the mean of its divisors is an integer number (808512505856).

Almost surely, 2^{101113212219975} is an apocalyptic number.

101113212219975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101113212219975 is a deficient number, since it is larger than the sum of its proper divisors (92929789185465).

101113212219975 is a wasteful number, since it uses less digits than its factorization.

101113212219975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 101113212219975 in words is "one hundred one trillion, one hundred thirteen billion, two hundred twelve million, two hundred nineteen thousand, nine hundred seventy-five".