100617201020201 has 16 divisors (see below), whose sum is σ = 104554298610000. Its totient is φ = 96711378306816.

The previous prime is 100617201020179. The next prime is 100617201020207. The reversal of 100617201020201 is 102020102716001.

It can be written as a sum of positive squares in 8 ways, for example, as 1075474776601 + 99541726243600 = 1037051^2 + 9977060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100617201020201 - 2³⁰ = 100616127278377 is a prime.

It is a super-2 number, since 2×100617201020201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100617201020207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52647395 + ... + 54525063.

It is an arithmetic number, because the mean of its divisors is an integer number (6534643663125).

Almost surely, 2^{100617201020201} is an apocalyptic number.

It is an amenable number.

100617201020201 is a deficient number, since it is larger than the sum of its proper divisors (3937097589799).

100617201020201 is a wasteful number, since it uses less digits than its factorization.

100617201020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885996.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100617201020201 its reverse (102020102716001), we get a palindrome (202637303736202).

The spelling of 100617201020201 in words is "one hundred trillion, six hundred seventeen billion, two hundred one million, twenty thousand, two hundred one".