122314003303001 has 2 divisors, whose sum is σ = 122314003303002. Its totient is φ = 122314003303000.

The previous prime is 122314003302989. The next prime is 122314003303031. The reversal of 122314003303001 is 100303300413221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118321659635776 + 3992343667225 = 10877576^2 + 1998085^2 .

It is a cyclic number.

It is not a de Polignac number, because 122314003303001 - 2³⁴ = 122296823433817 is a prime.

It is not a weakly prime, because it can be changed into another prime (122314003303031) 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, 61157001651500 + 61157001651501.

It is an arithmetic number, because the mean of its divisors is an integer number (61157001651501).

Almost surely, 2^{122314003303001} is an apocalyptic number.

It is an amenable number.

122314003303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314003303001 is an equidigital number, since it uses as much as digits as its factorization.

122314003303001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122314003303001 its reverse (100303300413221), we get a palindrome (222617303716222).

The spelling of 122314003303001 in words is "one hundred twenty-two trillion, three hundred fourteen billion, three million, three hundred three thousand, one".