100910020201 has 16 divisors (see below), whose sum is σ = 104863222800. Its totient is φ = 96988889088.

The previous prime is 100910020193. The next prime is 100910020213. The reversal of 100910020201 is 102020019001.

It can be written as a sum of positive squares in 8 ways, for example, as 14829394176 + 86080626025 = 121776^2 + 293395^2 .

It is a cyclic number.

It is not a de Polignac number, because 100910020201 - 2³ = 100910020193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100910020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15118801 + ... + 15125473.

It is an arithmetic number, because the mean of its divisors is an integer number (6553951425).

Almost surely, 2^100910020201 is an apocalyptic number.

It is an amenable number.

100910020201 is a deficient number, since it is larger than the sum of its proper divisors (3953202599).

100910020201 is a wasteful number, since it uses less digits than its factorization.

100910020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100910020201 its reverse (102020019001), we get a palindrome (202930039202).

The spelling of 100910020201 in words is "one hundred billion, nine hundred ten million, twenty thousand, two hundred one".