2111221220113 has 2 divisors, whose sum is σ = 2111221220114. Its totient is φ = 2111221220112.

The previous prime is 2111221220041. The next prime is 2111221220167. The reversal of 2111221220113 is 3110221221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1637611614864 + 473609605249 = 1279692^2 + 688193^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111221220113 - 2²⁹ = 2110684349201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111221220813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055610610056 + 1055610610057.

It is an arithmetic number, because the mean of its divisors is an integer number (1055610610057).

Almost surely, 2^{2111221220113} is an apocalyptic number.

It is an amenable number.

2111221220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111221220113 is an equidigital number, since it uses as much as digits as its factorization.

2111221220113 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 19.

Adding to 2111221220113 its reverse (3110221221112), we get a palindrome (5221442441225).

Subtracting 2111221220113 from its reverse (3110221221112), we obtain a palindrome (999000000999).

The spelling of 2111221220113 in words is "two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, one hundred thirteen".