10222222122221 has 2 divisors, whose sum is σ = 10222222122222. Its totient is φ = 10222222122220.

The previous prime is 10222222122187. The next prime is 10222222122337. The reversal of 10222222122221 is 12222122222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7343482132996 + 2878739989225 = 2709886^2 + 1696685^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222222122221 - 2³⁴ = 10205042253037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222222722221) 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, 5111111061110 + 5111111061111.

It is an arithmetic number, because the mean of its divisors is an integer number (5111111061111).

Almost surely, 2^{10222222122221} is an apocalyptic number.

It is an amenable number.

10222222122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222222122221 is an equidigital number, since it uses as much as digits as its factorization.

10222222122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10222222122221 its reverse (12222122222201), we get a palindrome (22444344344422).

The spelling of 10222222122221 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".