201002100110001 has 6 divisors (see below), whose sum is σ = 290336366825570. Its totient is φ = 134001400073328.

The previous prime is 201002100109973. The next prime is 201002100110003. The reversal of 201002100110001 is 100011001200102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 188755284902976 + 12246815207025 = 13738824^2 + 3499545^2 .

It is not a de Polignac number, because 201002100110001 - 2¹³ = 201002100101809 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: 22333566678889 = 201002100110001 / (2 + 0 + 1 + 0 + 0 + 2 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201002100110003) 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, 11166783339436 + ... + 11166783339453.

Almost surely, 2^{201002100110001} is an apocalyptic number.

It is an amenable number.

201002100110001 is a deficient number, since it is larger than the sum of its proper divisors (89334266715569).

201002100110001 is a wasteful number, since it uses less digits than its factorization.

201002100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333566678895 (or 22333566678892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201002100110001 its reverse (100011001200102), we get a palindrome (301013101310103).

The spelling of 201002100110001 in words is "two hundred one trillion, two billion, one hundred million, one hundred ten thousand, one".