321213410221221 has 24 divisors (see below), whose sum is σ = 530257819703040. Its totient is φ = 183550256509536.

The previous prime is 321213410221201. The next prime is 321213410221283. The reversal of 321213410221221 is 122122014312123.

321213410221221 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 3 + 410 + 2 + 21 + 221 = 666.

It is not a de Polignac number, because 321213410221221 - 2¹⁴ = 321213410204837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213410221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45817156 + ... + 52360658.

It is an arithmetic number, because the mean of its divisors is an integer number (22094075820960).

Almost surely, 2^{321213410221221} is an apocalyptic number.

It is an amenable number.

321213410221221 is a deficient number, since it is larger than the sum of its proper divisors (209044409481819).

321213410221221 is a wasteful number, since it uses less digits than its factorization.

321213410221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322705 (or 7322702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 321213410221221 its reverse (122122014312123), we get a palindrome (443335424533344).

The spelling of 321213410221221 in words is "three hundred twenty-one trillion, two hundred thirteen billion, four hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".