10001211022321 has 2 divisors, whose sum is σ = 10001211022322. Its totient is φ = 10001211022320.

The previous prime is 10001211022267. The next prime is 10001211022399. The reversal of 10001211022321 is 12322011210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9851054772321 + 150156250000 = 3138639^2 + 387500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001211022321 - 2²⁹ = 10000674151409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001211022295 and 10001211022304.

It is not a weakly prime, because it can be changed into another prime (10001211722321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000605511160 + 5000605511161.

It is an arithmetic number, because the mean of its divisors is an integer number (5000605511161).

Almost surely, 2^{10001211022321} is an apocalyptic number.

It is an amenable number.

10001211022321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001211022321 is an equidigital number, since it uses as much as digits as its factorization.

10001211022321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10001211022321 its reverse (12322011210001), we get a palindrome (22323222232322).

The spelling of 10001211022321 in words is "ten trillion, one billion, two hundred eleven million, twenty-two thousand, three hundred twenty-one".