22120002122117 has 2 divisors, whose sum is σ = 22120002122118. Its totient is φ = 22120002122116.

The previous prime is 22120002122083. The next prime is 22120002122131. The reversal of 22120002122117 is 71122120002122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14373432495361 + 7746569626756 = 3791231^2 + 2783266^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120002122117 - 2¹⁸ = 22120001859973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120002122092 and 22120002122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120002122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060001061058 + 11060001061059.

It is an arithmetic number, because the mean of its divisors is an integer number (11060001061059).

Almost surely, 2^{22120002122117} is an apocalyptic number.

It is an amenable number.

22120002122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120002122117 is an equidigital number, since it uses as much as digits as its factorization.

22120002122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 22120002122117 its reverse (71122120002122), we get a palindrome (93242122124239).

The spelling of 22120002122117 in words is "twenty-two trillion, one hundred twenty billion, two million, one hundred twenty-two thousand, one hundred seventeen".