2210120110013 has 2 divisors, whose sum is σ = 2210120110014. Its totient is φ = 2210120110012.

The previous prime is 2210120109961. The next prime is 2210120110057. The reversal of 2210120110013 is 3100110210122.

2210120110013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1230897053764 + 979223056249 = 1109458^2 + 989557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210120110013 - 2¹⁸ = 2210119847869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2210120110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210120110213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105060055006 + 1105060055007.

It is an arithmetic number, because the mean of its divisors is an integer number (1105060055007).

Almost surely, 2^{2210120110013} is an apocalyptic number.

It is an amenable number.

2210120110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210120110013 is an equidigital number, since it uses as much as digits as its factorization.

2210120110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2210120110013 its reverse (3100110210122), we get a palindrome (5310230320135).

The spelling of 2210120110013 in words is "two trillion, two hundred ten billion, one hundred twenty million, one hundred ten thousand, thirteen".