100101160156113 has 48 divisors (see below), whose sum is σ = 147437959968000. Its totient is φ = 65421984655872.

The previous prime is 100101160156091. The next prime is 100101160156163. The reversal of 100101160156113 is 311651061101001.

100101160156113 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 1 + 601 + 56 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 100101160156113 - 2¹⁰ = 100101160155089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101160156163) 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, 3473669881 + ... + 3473698697.

It is an arithmetic number, because the mean of its divisors is an integer number (3071624166000).

Almost surely, 2^{100101160156113} is an apocalyptic number.

It is an amenable number.

100101160156113 is a deficient number, since it is larger than the sum of its proper divisors (47336799811887).

100101160156113 is a wasteful number, since it uses less digits than its factorization.

100101160156113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34518 (or 34515 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 100101160156113 in words is "one hundred trillion, one hundred one billion, one hundred sixty million, one hundred fifty-six thousand, one hundred thirteen".