100001517200001 has 24 divisors (see below), whose sum is σ = 146072469933000. Its totient is φ = 65917322330112.

The previous prime is 100001517199999. The next prime is 100001517200009. The reversal of 100001517200001 is 100002715100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21753604933776 + 78247912266225 = 4664076^2 + 8845785^2 .

It is not a de Polignac number, because 100001517200001 - 2¹ = 100001517199999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001517200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40953265 + ... + 43326353.

It is an arithmetic number, because the mean of its divisors is an integer number (6086352913875).

Almost surely, 2^{100001517200001} is an apocalyptic number.

It is an amenable number.

100001517200001 is a deficient number, since it is larger than the sum of its proper divisors (46070952732999).

100001517200001 is a wasteful number, since it uses less digits than its factorization.

100001517200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425793 (or 2425790 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 100001517200001 in words is "one hundred trillion, one billion, five hundred seventeen million, two hundred thousand, one".