9601110100001 has 48 divisors (see below), whose sum is σ = 12433946297040. Its totient is φ = 7355752427520.

The previous prime is 9601110099937. The next prime is 9601110100097. The reversal of 9601110100001 is 1000010111069.

It can be written as a sum of positive squares in 8 ways, for example, as 498187518976 + 9102922581025 = 705824^2 + 3017105^2 .

It is not a de Polignac number, because 9601110100001 - 2⁶ = 9601110099937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9601110100301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784180 + ... + 4731333.

It is an arithmetic number, because the mean of its divisors is an integer number (259040547855).

Almost surely, 2^{9601110100001} is an apocalyptic number.

It is an amenable number.

9601110100001 is a deficient number, since it is larger than the sum of its proper divisors (2832836197039).

9601110100001 is a wasteful number, since it uses less digits than its factorization.

9601110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515634 (or 6515627 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 9601110100001 in words is "nine trillion, six hundred one billion, one hundred ten million, one hundred thousand, one".