100560117000 has 1024 divisors, whose sum is σ = 408104386560. Its totient is φ = 20072448000.

The previous prime is 100560116999. The next prime is 100560117013. The reversal of 100560117000 is 711065001.

100560117000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100560117000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 303806835 + ... + 303807165.

It is an arithmetic number, because the mean of its divisors is an integer number (398539440).

Almost surely, 2^100560117000 is an apocalyptic number.

100560117000 is a gapful number since it is divisible by the number (10) 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 100560117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204052193280).

100560117000 is an abundant number, since it is smaller than the sum of its proper divisors (307544269560).

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

100560117000 is a wasteful number, since it uses less digits than its factorization.

100560117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 100560117000 in words is "one hundred billion, five hundred sixty million, one hundred seventeen thousand".