1000221120961 has 2 divisors, whose sum is σ = 1000221120962. Its totient is φ = 1000221120960.

The previous prime is 1000221120947. The next prime is 1000221121069. The reversal of 1000221120961 is 1690211220001.

It is a happy number.

Together with next prime (1000221121069) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 960460760961 + 39760360000 = 980031^2 + 199400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000221120961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000221120911) 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, 500110560480 + 500110560481.

It is an arithmetic number, because the mean of its divisors is an integer number (500110560481).

Almost surely, 2^{1000221120961} is an apocalyptic number.

It is an amenable number.

1000221120961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221120961 is an equidigital number, since it uses as much as digits as its factorization.

1000221120961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 1000221120961 its reverse (1690211220001), we get a palindrome (2690432340962).

The spelling of 1000221120961 in words is "one trillion, two hundred twenty-one million, one hundred twenty thousand, nine hundred sixty-one".