2112202200013 has 2 divisors, whose sum is σ = 2112202200014. Its totient is φ = 2112202200012.

The previous prime is 2112202200001. The next prime is 2112202200019. The reversal of 2112202200013 is 3100022022112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1747480417929 + 364721782084 = 1321923^2 + 603922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112202200013 - 2⁹ = 2112202199501 is a prime.

It is a super-2 number, since 2×2112202200013² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112202200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112202200019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056101100006 + 1056101100007.

It is an arithmetic number, because the mean of its divisors is an integer number (1056101100007).

Almost surely, 2^{2112202200013} is an apocalyptic number.

It is an amenable number.

2112202200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112202200013 is an equidigital number, since it uses as much as digits as its factorization.

2112202200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2112202200013 its reverse (3100022022112), we get a palindrome (5212224222125).

The spelling of 2112202200013 in words is "two trillion, one hundred twelve billion, two hundred two million, two hundred thousand, thirteen".