1000221223121 has 2 divisors, whose sum is σ = 1000221223122. Its totient is φ = 1000221223120.

The previous prime is 1000221223109. The next prime is 1000221223159. The reversal of 1000221223121 is 1213221220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000128004096 + 93219025 = 1000064^2 + 9655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000221223121 - 2³⁴ = 983041353937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000221223121.

It is not a weakly prime, because it can be changed into another prime (1000221223171) 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, 500110611560 + 500110611561.

It is an arithmetic number, because the mean of its divisors is an integer number (500110611561).

Almost surely, 2^{1000221223121} is an apocalyptic number.

It is an amenable number.

1000221223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221223121 is an equidigital number, since it uses as much as digits as its factorization.

1000221223121 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 1000221223121 its reverse (1213221220001), we get a palindrome (2213442443122).

The spelling of 1000221223121 in words is "one trillion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty-one".