10201002201 has 48 divisors (see below), whose sum is σ = 16817083920. Its totient is φ = 5902848000.

The previous prime is 10201002191. The next prime is 10201002209. The reversal of 10201002201 is 10220010201.

It can be written as a sum of positive squares in 8 ways, for example, as 391090176 + 9809912025 = 19776^2 + 99045^2 .

It is not a de Polignac number, because 10201002201 - 2⁹ = 10201001689 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10201002209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397701 + ... + 3400701.

It is an arithmetic number, because the mean of its divisors is an integer number (350355915).

Almost surely, 2^10201002201 is an apocalyptic number.

It is an amenable number.

10201002201 is a deficient number, since it is larger than the sum of its proper divisors (6616081719).

10201002201 is a wasteful number, since it uses less digits than its factorization.

10201002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4743 counting only the distinct ones).

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

Adding to 10201002201 its reverse (10220010201), we get a palindrome (20421012402).

The spelling of 10201002201 in words is "ten billion, two hundred one million, two thousand, two hundred one".