22122112120193 has 2 divisors, whose sum is σ = 22122112120194. Its totient is φ = 22122112120192.

The previous prime is 22122112120123. The next prime is 22122112120231. The reversal of 22122112120193 is 39102121122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12628762367809 + 9493349752384 = 3553697^2 + 3081128^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122112120193 - 2²⁸ = 22121843684737 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122112120123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061056060096 + 11061056060097.

It is an arithmetic number, because the mean of its divisors is an integer number (11061056060097).

Almost surely, 2^{22122112120193} is an apocalyptic number.

It is an amenable number.

22122112120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122112120193 is an equidigital number, since it uses as much as digits as its factorization.

22122112120193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 22122112120193 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred ninety-three".