10002211321301 has 2 divisors, whose sum is σ = 10002211321302. Its totient is φ = 10002211321300.

The previous prime is 10002211321283. The next prime is 10002211321309. The reversal of 10002211321301 is 10312311220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6948364200625 + 3053847120676 = 2635975^2 + 1747526^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002211321301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002211321301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002211321309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001105660650 + 5001105660651.

It is an arithmetic number, because the mean of its divisors is an integer number (5001105660651).

Almost surely, 2^{10002211321301} is an apocalyptic number.

It is an amenable number.

10002211321301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002211321301 is an equidigital number, since it uses as much as digits as its factorization.

10002211321301 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 17.

Adding to 10002211321301 its reverse (10312311220001), we get a palindrome (20314522541302).

The spelling of 10002211321301 in words is "ten trillion, two billion, two hundred eleven million, three hundred twenty-one thousand, three hundred one".