201210102002013 has 64 divisors (see below), whose sum is σ = 304470754425600. Its totient is φ = 117170693959680.

The previous prime is 201210102001981. The next prime is 201210102002027. The reversal of 201210102002013 is 310200201012102.

It is not a de Polignac number, because 201210102002013 - 2⁵ = 201210102001981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201210102001983 and 201210102002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210102002093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2896866981 + ... + 2896936437.

It is an arithmetic number, because the mean of its divisors is an integer number (4757355537900).

Almost surely, 2^{201210102002013} is an apocalyptic number.

It is an amenable number.

201210102002013 is a deficient number, since it is larger than the sum of its proper divisors (103260652423587).

201210102002013 is a wasteful number, since it uses less digits than its factorization.

201210102002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73902.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201210102002013 its reverse (310200201012102), we get a palindrome (511410303014115).

The spelling of 201210102002013 in words is "two hundred one trillion, two hundred ten billion, one hundred two million, two thousand, thirteen".