321322131122101 has 8 divisors (see below), whose sum is σ = 334441481942880. Its totient is φ = 308338732123632.

The previous prime is 321322131122071. The next prime is 321322131122117. The reversal of 321322131122101 is 101221131223123.

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 321322131122101 - 2²⁷ = 321321996904373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321322131222101) 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 in 7 ways as a sum of consecutive naturals, for example, 33987950755 + ... + 33987960208.

It is an arithmetic number, because the mean of its divisors is an integer number (41805185242860).

Almost surely, 2^{321322131122101} is an apocalyptic number.

It is an amenable number.

321322131122101 is a deficient number, since it is larger than the sum of its proper divisors (13119350820779).

321322131122101 is a wasteful number, since it uses less digits than its factorization.

321322131122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67975911155.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 321322131122101 its reverse (101221131223123), we get a palindrome (422543262345224).

The spelling of 321322131122101 in words is "three hundred twenty-one trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred one".