22011222211117 has 2 divisors, whose sum is σ = 22011222211118. Its totient is φ = 22011222211116.

The previous prime is 22011222211049. The next prime is 22011222211123. The reversal of 22011222211117 is 71111222211022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20364091250281 + 1647130960836 = 4512659^2 + 1283406^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011222211117 - 2³⁵ = 21976862472749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011222211091 and 22011222211100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22011222211157) 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, 11005611105558 + 11005611105559.

It is an arithmetic number, because the mean of its divisors is an integer number (11005611105559).

Almost surely, 2^{22011222211117} is an apocalyptic number.

It is an amenable number.

22011222211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011222211117 is an equidigital number, since it uses as much as digits as its factorization.

22011222211117 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 25.

Adding to 22011222211117 its reverse (71111222211022), we get a palindrome (93122444422139).

The spelling of 22011222211117 in words is "twenty-two trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred seventeen".