331002002222201 has 2 divisors, whose sum is σ = 331002002222202. Its totient is φ = 331002002222200.

The previous prime is 331002002222191. The next prime is 331002002222209. The reversal of 331002002222201 is 102222200200133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269907440899600 + 61094561322601 = 16428860^2 + 7816301^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002002222201 - 2²⁶ = 331001935113337 is a prime.

It is not a weakly prime, because it can be changed into another prime (331002002222209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501001111100 + 165501001111101.

It is an arithmetic number, because the mean of its divisors is an integer number (165501001111101).

Almost surely, 2^{331002002222201} is an apocalyptic number.

It is an amenable number.

331002002222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002002222201 is an equidigital number, since it uses as much as digits as its factorization.

331002002222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 331002002222201 its reverse (102222200200133), we get a palindrome (433224202422334).

The spelling of 331002002222201 in words is "three hundred thirty-one trillion, two billion, two million, two hundred twenty-two thousand, two hundred one".