101321122321 has 2 divisors, whose sum is σ = 101321122322. Its totient is φ = 101321122320.

The previous prime is 101321122313. The next prime is 101321122361. The reversal of 101321122321 is 123221123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101238512400 + 82609921 = 318180^2 + 9089^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321122321 - 2³ = 101321122313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101321122361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660561160 + 50660561161.

It is an arithmetic number, because the mean of its divisors is an integer number (50660561161).

Almost surely, 2^101321122321 is an apocalyptic number.

It is an amenable number.

101321122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321122321 is an equidigital number, since it uses as much as digits as its factorization.

101321122321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101321122321 its reverse (123221123101), we get a palindrome (224542245422).

The spelling of 101321122321 in words is "one hundred one billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty-one".