100160101521 has 24 divisors (see below), whose sum is σ = 145324172136. Its totient is φ = 66474293760.

The previous prime is 100160101471. The next prime is 100160101537. The reversal of 100160101521 is 125101061001.

It is a happy number.

100160101521 is a `hidden beast` number, since 10 + 0 + 1 + 601 + 0 + 1 + 52 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35142751296 + 65017350225 = 187464^2 + 254985^2 .

It is not a de Polignac number, because 100160101521 - 2¹⁰ = 100160100497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100160101494 and 100160101503.

It is not an unprimeable number, because it can be changed into a prime (100160901521) 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, 8958891 + ... + 8970063.

It is an arithmetic number, because the mean of its divisors is an integer number (6055173839).

Almost surely, 2^100160101521 is an apocalyptic number.

It is an amenable number.

100160101521 is a deficient number, since it is larger than the sum of its proper divisors (45164070615).

100160101521 is a wasteful number, since it uses less digits than its factorization.

100160101521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15553 (or 15550 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 100160101521 its reverse (125101061001), we get a palindrome (225261162522).

The spelling of 100160101521 in words is "one hundred billion, one hundred sixty million, one hundred one thousand, five hundred twenty-one".