10000220010201 has 6 divisors (see below), whose sum is σ = 14444762236970. Its totient is φ = 6666813340128.

The previous prime is 10000220010173. The next prime is 10000220010223. The reversal of 10000220010201 is 10201002200001.

It can be written as a sum of positive squares in only one way, i.e., 9783282974976 + 216937035225 = 3127824^2 + 465765^2 .

It is not a de Polignac number, because 10000220010201 - 2⁵ = 10000220010169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111135556689 = 10000220010201 / (1 + 0 + 0 + 0 + 0 + 2 + 2 + 0 + 0 + 1 + 0 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000220010251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555567778336 + ... + 555567778353.

Almost surely, 2^{10000220010201} is an apocalyptic number.

It is an amenable number.

10000220010201 is a deficient number, since it is larger than the sum of its proper divisors (4444542226769).

10000220010201 is a wasteful number, since it uses less digits than its factorization.

10000220010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111135556695 (or 1111135556692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000220010201 its reverse (10201002200001), we get a palindrome (20201222210202).

The spelling of 10000220010201 in words is "ten trillion, two hundred twenty million, ten thousand, two hundred one".