10001101600161 has 72 divisors (see below), whose sum is σ = 17216120867400. Its totient is φ = 5574982533120.

The previous prime is 10001101600141. The next prime is 10001101600163. The reversal of 10001101600161 is 16100610110001.

10001101600161 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 600 + 1 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1185137049600 + 8815964550561 = 1088640^2 + 2969169^2 .

It is not a de Polignac number, because 10001101600161 - 2⁵ = 10001101600129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001101600163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248213905 + ... + 248254193.

It is an arithmetic number, because the mean of its divisors is an integer number (239112789825).

Almost surely, 2^{10001101600161} is an apocalyptic number.

It is an amenable number.

10001101600161 is a deficient number, since it is larger than the sum of its proper divisors (7215019267239).

10001101600161 is a wasteful number, since it uses less digits than its factorization.

10001101600161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54079 (or 54069 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10001101600161 its reverse (16100610110001), we get a palindrome (26101711710162).

The spelling of 10001101600161 in words is "ten trillion, one billion, one hundred one million, six hundred thousand, one hundred sixty-one".