10000002122221 has 2 divisors, whose sum is σ = 10000002122222. Its totient is φ = 10000002122220.

The previous prime is 10000002122203. The next prime is 10000002122237. The reversal of 10000002122221 is 12222120000001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8742488832900 + 1257513289321 = 2956770^2 + 1121389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002122221 - 2⁹ = 10000002121709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000002120221) 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, 5000001061110 + 5000001061111.

It is an arithmetic number, because the mean of its divisors is an integer number (5000001061111).

Almost surely, 2^{10000002122221} is an apocalyptic number.

It is an amenable number.

10000002122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000002122221 is an equidigital number, since it uses as much as digits as its factorization.

10000002122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000002122221 its reverse (12222120000001), we get a palindrome (22222122122222).

The spelling of 10000002122221 in words is "ten trillion, two million, one hundred twenty-two thousand, two hundred twenty-one".