10022100201 has 36 divisors (see below), whose sum is σ = 15542416708. Its totient is φ = 6218068032.

The previous prime is 10022100191. The next prime is 10022100203. The reversal of 10022100201 is 10200122001.

10022100201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5299112025 + 4722988176 = 72795^2 + 68724^2 .

It is not a de Polignac number, because 10022100201 - 2¹⁰ = 10022099177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147711 + ... + 204603.

Almost surely, 2^10022100201 is an apocalyptic number.

It is an amenable number.

10022100201 is a deficient number, since it is larger than the sum of its proper divisors (5520316507).

10022100201 is a wasteful number, since it uses less digits than its factorization.

10022100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56982 (or 56956 counting only the distinct ones).

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

Adding to 10022100201 its reverse (10200122001), we get a palindrome (20222222202).

The spelling of 10022100201 in words is "ten billion, twenty-two million, one hundred thousand, two hundred one".