212201222120249 has 2 divisors, whose sum is σ = 212201222120250. Its totient is φ = 212201222120248.

The previous prime is 212201222120189. The next prime is 212201222120263. The reversal of 212201222120249 is 942021222102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107411604697849 + 104789617422400 = 10363957^2 + 10236680^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201222120249 - 2³⁶ = 212132502643513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212201222120299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100611060124 + 106100611060125.

It is an arithmetic number, because the mean of its divisors is an integer number (106100611060125).

Almost surely, 2^{212201222120249} is an apocalyptic number.

It is an amenable number.

212201222120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201222120249 is an equidigital number, since it uses as much as digits as its factorization.

212201222120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 212201222120249 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred forty-nine".