22211000122193 has 2 divisors, whose sum is σ = 22211000122194. Its totient is φ = 22211000122192.

The previous prime is 22211000122187. The next prime is 22211000122229. The reversal of 22211000122193 is 39122100011222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19097529285184 + 3113470837009 = 4370072^2 + 1764503^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211000122193 - 2³² = 22206705154897 is a prime.

It is a super-2 number, since 2×22211000122193² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22211000122093) 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, 11105500061096 + 11105500061097.

It is an arithmetic number, because the mean of its divisors is an integer number (11105500061097).

Almost surely, 2^{22211000122193} is an apocalyptic number.

It is an amenable number.

22211000122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211000122193 is an equidigital number, since it uses as much as digits as its factorization.

22211000122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 22211000122193 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-two thousand, one hundred ninety-three".