12100200013 has 6 divisors (see below), whose sum is σ = 13300219982. Its totient is φ = 11000181720.

The previous prime is 12100200001. The next prime is 12100200017. The reversal of 12100200013 is 31000200121.

12100200013 is digitally balanced in base 2, 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 only one way, i.e., 10878907204 + 1221292809 = 104302^2 + 34947^2 .

It is not a de Polignac number, because 12100200013 - 2²⁵ = 12066645581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50000706 + ... + 50000947.

Almost surely, 2^12100200013 is an apocalyptic number.

It is an amenable number.

12100200013 is a deficient number, since it is larger than the sum of its proper divisors (1200019969).

12100200013 is a wasteful number, since it uses less digits than its factorization.

12100200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100001675 (or 100001664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12100200013 its reverse (31000200121), we get a palindrome (43100400134).

The spelling of 12100200013 in words is "twelve billion, one hundred million, two hundred thousand, thirteen".