321113112110201 has 2 divisors, whose sum is σ = 321113112110202. Its totient is φ = 321113112110200.

The previous prime is 321113112110191. The next prime is 321113112110251. The reversal of 321113112110201 is 102011211311123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227610478165225 + 93502633944976 = 15086765^2 + 9669676^2 .

It is a cyclic number.

It is not a de Polignac number, because 321113112110201 - 2²⁶ = 321113045001337 is a prime.

It is a super-3 number, since 3×321113112110201³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (321113112110251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556556055100 + 160556556055101.

It is an arithmetic number, because the mean of its divisors is an integer number (160556556055101).

Almost surely, 2^{321113112110201} is an apocalyptic number.

It is an amenable number.

321113112110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113112110201 is an equidigital number, since it uses as much as digits as its factorization.

321113112110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 321113112110201 its reverse (102011211311123), we get a palindrome (423124323421324).

The spelling of 321113112110201 in words is "three hundred twenty-one trillion, one hundred thirteen billion, one hundred twelve million, one hundred ten thousand, two hundred one".