201002100002001 has 48 divisors (see below), whose sum is σ = 297508030842880. Its totient is φ = 130700233692000.

The previous prime is 201002100001993. The next prime is 201002100002029. The reversal of 201002100002001 is 100200001200102.

It is not a de Polignac number, because 201002100002001 - 2³ = 201002100001993 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 not an unprimeable number, because it can be changed into a prime (201002100702001) 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, 5359036890 + ... + 5359074396.

Almost surely, 2^{201002100002001} is an apocalyptic number.

It is an amenable number.

201002100002001 is a deficient number, since it is larger than the sum of its proper divisors (96505930840879).

201002100002001 is a wasteful number, since it uses less digits than its factorization.

201002100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56746 (or 56743 counting only the distinct ones).

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

Adding to 201002100002001 its reverse (100200001200102), we get a palindrome (301202101202103).

The spelling of 201002100002001 in words is "two hundred one trillion, two billion, one hundred million, two thousand, one".