100001601165001 has 24 divisors (see below), whose sum is σ = 111898847520000. Its totient is φ = 89103543784704.

The previous prime is 100001601164957. The next prime is 100001601165013. The reversal of 100001601165001 is 100561106100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001601165001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001601165601) 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, 1573575 + ... + 14229523.

It is an arithmetic number, because the mean of its divisors is an integer number (4662451980000).

Almost surely, 2^{100001601165001} is an apocalyptic number.

It is an amenable number.

100001601165001 is a deficient number, since it is larger than the sum of its proper divisors (11897246354999).

100001601165001 is a wasteful number, since it uses less digits than its factorization.

100001601165001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657441 (or 12657424 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 100001601165001 its reverse (100561106100001), we get a palindrome (200562707265002).

The spelling of 100001601165001 in words is "one hundred trillion, one billion, six hundred one million, one hundred sixty-five thousand, one".