1000222312321 has 2 divisors, whose sum is σ = 1000222312322. Its totient is φ = 1000222312320.

The previous prime is 1000222312253. The next prime is 1000222312357. The reversal of 1000222312321 is 1232132220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696223360000 + 303998952321 = 834400^2 + 551361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000222312321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000222312361) 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, 500111156160 + 500111156161.

It is an arithmetic number, because the mean of its divisors is an integer number (500111156161).

Almost surely, 2^{1000222312321} is an apocalyptic number.

It is an amenable number.

1000222312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000222312321 is an equidigital number, since it uses as much as digits as its factorization.

1000222312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1000222312321 its reverse (1232132220001), we get a palindrome (2232354532322).

The spelling of 1000222312321 in words is "one trillion, two hundred twenty-two million, three hundred twelve thousand, three hundred twenty-one".