12122101021193 has 2 divisors, whose sum is σ = 12122101021194. Its totient is φ = 12122101021192.

The previous prime is 12122101021111. The next prime is 12122101021207. The reversal of 12122101021193 is 39112010122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8609576587264 + 3512524433929 = 2934208^2 + 1874173^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122101021193 - 2²⁰ = 12122099972617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122101071193) 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, 6061050510596 + 6061050510597.

It is an arithmetic number, because the mean of its divisors is an integer number (6061050510597).

Almost surely, 2^{12122101021193} is an apocalyptic number.

It is an amenable number.

12122101021193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122101021193 is an equidigital number, since it uses as much as digits as its factorization.

12122101021193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 12122101021193 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, one hundred ninety-three".