22002122120113 has 2 divisors, whose sum is σ = 22002122120114. Its totient is φ = 22002122120112.

The previous prime is 22002122120053. The next prime is 22002122120131. The reversal of 22002122120113 is 31102122120022.

Together with next prime (22002122120131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12074909160609 + 9927212959504 = 3474897^2 + 3150748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22002122120113 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002122120513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001061060056 + 11001061060057.

It is an arithmetic number, because the mean of its divisors is an integer number (11001061060057).

Almost surely, 2^{22002122120113} is an apocalyptic number.

It is an amenable number.

22002122120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002122120113 is an equidigital number, since it uses as much as digits as its factorization.

22002122120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 22002122120113 its reverse (31102122120022), we get a palindrome (53104244240135).

Subtracting 22002122120113 from its reverse (31102122120022), we obtain a palindrome (9099999999909).

The spelling of 22002122120113 in words is "twenty-two trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred thirteen".