22200002122121 has 2 divisors, whose sum is σ = 22200002122122. Its totient is φ = 22200002122120.

The previous prime is 22200002122063. The next prime is 22200002122139. The reversal of 22200002122121 is 12122120000222.

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., 17690478060025 + 4509524062096 = 4206005^2 + 2123564^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200002122121 - 2⁶ = 22200002122057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22200002122121.

It is not a weakly prime, because it can be changed into another prime (22200002122171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100001061060 + 11100001061061.

It is an arithmetic number, because the mean of its divisors is an integer number (11100001061061).

Almost surely, 2^{22200002122121} is an apocalyptic number.

It is an amenable number.

22200002122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200002122121 is an equidigital number, since it uses as much as digits as its factorization.

22200002122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22200002122121 its reverse (12122120000222), we get a palindrome (34322122122343).

The spelling of 22200002122121 in words is "twenty-two trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred twenty-one".