321420443124401 has 2 divisors, whose sum is σ = 321420443124402. Its totient is φ = 321420443124400.

The previous prime is 321420443124359. The next prime is 321420443124433. The reversal of 321420443124401 is 104421344024123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291980605753600 + 29439837370801 = 17087440^2 + 5425849^2 .

It is a cyclic number.

It is not a de Polignac number, because 321420443124401 - 2³⁸ = 321145565217457 is a prime.

It is a super-2 number, since 2×321420443124401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321420443124461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160710221562200 + 160710221562201.

It is an arithmetic number, because the mean of its divisors is an integer number (160710221562201).

Almost surely, 2^{321420443124401} is an apocalyptic number.

It is an amenable number.

321420443124401 is a deficient number, since it is larger than the sum of its proper divisors (1).

321420443124401 is an equidigital number, since it uses as much as digits as its factorization.

321420443124401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 321420443124401 its reverse (104421344024123), we get a palindrome (425841787148524).

The spelling of 321420443124401 in words is "three hundred twenty-one trillion, four hundred twenty billion, four hundred forty-three million, one hundred twenty-four thousand, four hundred one".