100001110999752 has 96 divisors (see below), whose sum is σ = 285096409478400. Its totient is φ = 31578686448768.

The previous prime is 100001110999747. The next prime is 100001110999753. The reversal of 100001110999752 is 257999011100001.

It is a junction number, because it is equal to n+sod(n) for n = 100001110999698 and 100001110999707.

It is not an unprimeable number, because it can be changed into a prime (100001110999753) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72716073 + ... + 74078535.

It is an arithmetic number, because the mean of its divisors is an integer number (2969754265400).

Almost surely, 2^{100001110999752} is an apocalyptic number.

100001110999752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001110999752 is an abundant number, since it is smaller than the sum of its proper divisors (185095298478648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001110999752 is a wasteful number, since it uses less digits than its factorization.

100001110999752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416147 (or 1416140 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 100001110999752 in words is "one hundred trillion, one billion, one hundred ten million, nine hundred ninety-nine thousand, seven hundred fifty-two".