22211122111193 has 2 divisors, whose sum is σ = 22211122111194. Its totient is φ = 22211122111192.

The previous prime is 22211122111169. The next prime is 22211122111201. The reversal of 22211122111193 is 39111122111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22089323205184 + 121798906009 = 4699928^2 + 348997^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211122111193 - 2²⁶ = 22211055002329 is a prime.

It is not a weakly prime, because it can be changed into another prime (22211122111133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105561055596 + 11105561055597.

It is an arithmetic number, because the mean of its divisors is an integer number (11105561055597).

Almost surely, 2^{22211122111193} is an apocalyptic number.

It is an amenable number.

22211122111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211122111193 is an equidigital number, since it uses as much as digits as its factorization.

22211122111193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 29.

Adding to 22211122111193 its sum of digits (29), we get a palindrome (22211122111222).

The spelling of 22211122111193 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ninety-three".