321220122001 has 8 divisors (see below), whose sum is σ = 322252273224. Its totient is φ = 320188661760.

The previous prime is 321220121987. The next prime is 321220122019. The reversal of 321220122001 is 100221022123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 161444043601 + 159776078400 = 401801^2 + 399720^2 .

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 321220122001 - 2¹¹ = 321220119953 is a prime.

It is a super-3 number, since 3×321220122001³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321220122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766681 + ... + 1109161.

It is an arithmetic number, because the mean of its divisors is an integer number (40281534153).

Almost surely, 2^321220122001 is an apocalyptic number.

It is an amenable number.

321220122001 is a deficient number, since it is larger than the sum of its proper divisors (1032151223).

321220122001 is a wasteful number, since it uses less digits than its factorization.

321220122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345491.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 321220122001 its reverse (100221022123), we get a palindrome (421441144124).

The spelling of 321220122001 in words is "three hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one".