10002200200001 has 2 divisors, whose sum is σ = 10002200200002. Its totient is φ = 10002200200000.

The previous prime is 10002200199923. The next prime is 10002200200007. The reversal of 10002200200001 is 10000200220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7973569710001 + 2028630490000 = 2823751^2 + 1424300^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002200200001 - 2¹⁴ = 10002200183617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10002200200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001100100000 + 5001100100001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001100100001).

Almost surely, 2^{10002200200001} is an apocalyptic number.

It is an amenable number.

10002200200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002200200001 is an equidigital number, since it uses as much as digits as its factorization.

10002200200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002200200001 its reverse (10000200220001), we get a palindrome (20002400420002).

The spelling of 10002200200001 in words is "ten trillion, two billion, two hundred million, two hundred thousand, one".