1001002221221 has 2 divisors, whose sum is σ = 1001002221222. Its totient is φ = 1001002221220.

The previous prime is 1001002221179. The next prime is 1001002221371. The reversal of 1001002221221 is 1221222001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 928064416321 + 72937804900 = 963361^2 + 270070^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001002221221 - 2⁶ = 1001002221157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001002221196 and 1001002221205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001002224221) 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, 500501110610 + 500501110611.

It is an arithmetic number, because the mean of its divisors is an integer number (500501110611).

Almost surely, 2^{1001002221221} is an apocalyptic number.

It is an amenable number.

1001002221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002221221 is an equidigital number, since it uses as much as digits as its factorization.

1001002221221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001002221221 its reverse (1221222001001), we get a palindrome (2222224222222).

The spelling of 1001002221221 in words is "one trillion, one billion, two million, two hundred twenty-one thousand, two hundred twenty-one".