1000122321221 has 2 divisors, whose sum is σ = 1000122321222. Its totient is φ = 1000122321220.

The previous prime is 1000122321203. The next prime is 1000122321223. The reversal of 1000122321221 is 1221232210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995944120900 + 4178200321 = 997970^2 + 64639^2 .

It is an emirp because it is prime and its reverse (1221232210001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000122321221 is a prime.

It is a super-2 number, since 2×1000122321221² (a number of 25 digits) contains 22 as substring.

Together with 1000122321223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000122321221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000122321223) 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, 500061160610 + 500061160611.

It is an arithmetic number, because the mean of its divisors is an integer number (500061160611).

Almost surely, 2^{1000122321221} is an apocalyptic number.

It is an amenable number.

1000122321221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122321221 is an equidigital number, since it uses as much as digits as its factorization.

1000122321221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1000122321221 its reverse (1221232210001), we get a palindrome (2221354531222).

The spelling of 1000122321221 in words is "one trillion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred twenty-one".