301221032120249 has 2 divisors, whose sum is σ = 301221032120250. Its totient is φ = 301221032120248.

The previous prime is 301221032120189. The next prime is 301221032120257. The reversal of 301221032120249 is 942021230122103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257023997953024 + 44197034167225 = 16031968^2 + 6648085^2 .

It is a cyclic number.

It is not a de Polignac number, because 301221032120249 - 2¹⁶ = 301221032054713 is a prime.

It is a super-2 number, since 2×301221032120249² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (301221032120549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150610516060124 + 150610516060125.

It is an arithmetic number, because the mean of its divisors is an integer number (150610516060125).

Almost surely, 2^{301221032120249} is an apocalyptic number.

It is an amenable number.

301221032120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

301221032120249 is an equidigital number, since it uses as much as digits as its factorization.

301221032120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 301221032120249 in words is "three hundred one trillion, two hundred twenty-one billion, thirty-two million, one hundred twenty thousand, two hundred forty-nine".