321214314020221 has 8 divisors (see below), whose sum is σ = 328137381963864. Its totient is φ = 314344706061120.

The previous prime is 321214314020219. The next prime is 321214314020263. The reversal of 321214314020221 is 122020413412123.

It can be written as a sum of positive squares in 4 ways, for example, as 40254329836900 + 280959984183321 = 6344630^2 + 16761861^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321214314020221 - 2¹ = 321214314020219 is a prime.

It is a super-2 number, since 2×321214314020221² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 321214314020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214314024221) 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 in 7 ways as a sum of consecutive naturals, for example, 13364983990 + ... + 13365008023.

It is an arithmetic number, because the mean of its divisors is an integer number (41017172745483).

Almost surely, 2^{321214314020221} is an apocalyptic number.

It is an amenable number.

321214314020221 is a deficient number, since it is larger than the sum of its proper divisors (6923067943643).

321214314020221 is a wasteful number, since it uses less digits than its factorization.

321214314020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26729992271.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321214314020221 its reverse (122020413412123), we get a palindrome (443234727432344).

The spelling of 321214314020221 in words is "three hundred twenty-one trillion, two hundred fourteen billion, three hundred fourteen million, twenty thousand, two hundred twenty-one".