100561125252 has 96 divisors (see below), whose sum is σ = 275112198144. Its totient is φ = 27989280000.

The previous prime is 100561125233. The next prime is 100561125263. The reversal of 100561125252 is 252521165001.

It is a super-2 number, since 2×100561125252² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330877 + ... + 2373627.

It is an arithmetic number, because the mean of its divisors is an integer number (2865752064).

Almost surely, 2^100561125252 is an apocalyptic number.

100561125252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561125252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137556099072).

100561125252 is an abundant number, since it is smaller than the sum of its proper divisors (174551072892).

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

100561125252 is a wasteful number, since it uses less digits than its factorization.

100561125252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43489 (or 43487 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 100561125252 in words is "one hundred billion, five hundred sixty-one million, one hundred twenty-five thousand, two hundred fifty-two".