100501110506000 has 80 divisors (see below), whose sum is σ = 243074807359488. Its totient is φ = 40190002160000.

The previous prime is 100501110505717. The next prime is 100501110506033. The reversal of 100501110506000 is 605011105001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×100501110506000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177649 + ... + 14226351.

Almost surely, 2^{100501110506000} is an apocalyptic number.

100501110506000 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 100501110506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121537403679744).

100501110506000 is an abundant number, since it is smaller than the sum of its proper divisors (142573696853488).

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

100501110506000 is a wasteful number, since it uses less digits than its factorization.

100501110506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052577 (or 13052561 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 100501110506000 in words is "one hundred trillion, five hundred one billion, one hundred ten million, five hundred six thousand".