101321203322321 has 2 divisors, whose sum is σ = 101321203322322. Its totient is φ = 101321203322320.

The previous prime is 101321203322267. The next prime is 101321203322369. The reversal of 101321203322321 is 123223302123101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98631931312321 + 2689272010000 = 9931361^2 + 1639900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101321203322321 is a prime.

It is a super-2 number, since 2×101321203322321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101321203022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660601661160 + 50660601661161.

It is an arithmetic number, because the mean of its divisors is an integer number (50660601661161).

Almost surely, 2^{101321203322321} is an apocalyptic number.

It is an amenable number.

101321203322321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321203322321 is an equidigital number, since it uses as much as digits as its factorization.

101321203322321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 101321203322321 its reverse (123223302123101), we get a palindrome (224544505445422).

The spelling of 101321203322321 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred three million, three hundred twenty-two thousand, three hundred twenty-one".