12202111122193 has 2 divisors, whose sum is σ = 12202111122194. Its totient is φ = 12202111122192.

The previous prime is 12202111122133. The next prime is 12202111122209. The reversal of 12202111122193 is 39122111120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6679578222144 + 5522532900049 = 2584488^2 + 2350007^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202111122193 - 2¹⁷ = 12202110991121 is a prime.

It is a super-2 number, since 2×12202111122193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12202111122133) 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, 6101055561096 + 6101055561097.

It is an arithmetic number, because the mean of its divisors is an integer number (6101055561097).

Almost surely, 2^{12202111122193} is an apocalyptic number.

It is an amenable number.

12202111122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202111122193 is an equidigital number, since it uses as much as digits as its factorization.

12202111122193 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 28.

The spelling of 12202111122193 in words is "twelve trillion, two hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred ninety-three".