101321111122321 has 2 divisors, whose sum is σ = 101321111122322. Its totient is φ = 101321111122320.

The previous prime is 101321111122313. The next prime is 101321111122339. The reversal of 101321111122321 is 123221111123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76673857962321 + 24647253160000 = 8756361^2 + 4964600^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321111122321 - 2³ = 101321111122313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321111122292 and 101321111122301.

It is not a weakly prime, because it can be changed into another prime (101321111122351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660555561160 + 50660555561161.

It is an arithmetic number, because the mean of its divisors is an integer number (50660555561161).

Almost surely, 2^{101321111122321} is an apocalyptic number.

It is an amenable number.

101321111122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321111122321 is an equidigital number, since it uses as much as digits as its factorization.

101321111122321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 101321111122321 its reverse (123221111123101), we get a palindrome (224542222245422).

The spelling of 101321111122321 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".