12121021102193 has 2 divisors, whose sum is σ = 12121021102194. Its totient is φ = 12121021102192.

The previous prime is 12121021102181. The next prime is 12121021102213. The reversal of 12121021102193 is 39120112012121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6300536747569 + 5820484354624 = 2510087^2 + 2412568^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121021102193 - 2¹⁰ = 12121021101169 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121021102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060510551096 + 6060510551097.

It is an arithmetic number, because the mean of its divisors is an integer number (6060510551097).

Almost surely, 2^{12121021102193} is an apocalyptic number.

It is an amenable number.

12121021102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121021102193 is an equidigital number, since it uses as much as digits as its factorization.

12121021102193 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 12121021102193 in words is "twelve trillion, one hundred twenty-one billion, twenty-one million, one hundred two thousand, one hundred ninety-three".