12120222100193 has 2 divisors, whose sum is σ = 12120222100194. Its totient is φ = 12120222100192.

The previous prime is 12120222100171. The next prime is 12120222100243. The reversal of 12120222100193 is 39100122202121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9489652758784 + 2630569341409 = 3080528^2 + 1621903^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120222100193 - 2²⁴ = 12120205322977 is a prime.

It is not a weakly prime, because it can be changed into another prime (12120222100123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060111050096 + 6060111050097.

It is an arithmetic number, because the mean of its divisors is an integer number (6060111050097).

Almost surely, 2^{12120222100193} is an apocalyptic number.

It is an amenable number.

12120222100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120222100193 is an equidigital number, since it uses as much as digits as its factorization.

12120222100193 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 12120222100193 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-two million, one hundred thousand, one hundred ninety-three".