22112110121117 has 2 divisors, whose sum is σ = 22112110121118. Its totient is φ = 22112110121116.

The previous prime is 22112110121053. The next prime is 22112110121177. The reversal of 22112110121117 is 71112101121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11153322236281 + 10958787884836 = 3339659^2 + 3310406^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112110121117 - 2⁶ = 22112110121053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112110121092 and 22112110121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112110121177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056055060558 + 11056055060559.

It is an arithmetic number, because the mean of its divisors is an integer number (11056055060559).

Almost surely, 2^{22112110121117} is an apocalyptic number.

It is an amenable number.

22112110121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112110121117 is an equidigital number, since it uses as much as digits as its factorization.

22112110121117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 23.

Adding to 22112110121117 its reverse (71112101121122), we get a palindrome (93224211242239).

The spelling of 22112110121117 in words is "twenty-two trillion, one hundred twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred seventeen".