1002222110081 has 2 divisors, whose sum is σ = 1002222110082. Its totient is φ = 1002222110080.

The previous prime is 1002222110059. The next prime is 1002222110093. The reversal of 1002222110081 is 1800112222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 762450297856 + 239771812225 = 873184^2 + 489665^2 .

It is an emirp because it is prime and its reverse (1800112222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002222110081 - 2¹⁸ = 1002221847937 is a prime.

It is a super-2 number, since 2×1002222110081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002222110011) 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, 501111055040 + 501111055041.

It is an arithmetic number, because the mean of its divisors is an integer number (501111055041).

Almost surely, 2^{1002222110081} is an apocalyptic number.

It is an amenable number.

1002222110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002222110081 is an equidigital number, since it uses as much as digits as its factorization.

1002222110081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1002222110081 its reverse (1800112222001), we get a palindrome (2802334332082).

The spelling of 1002222110081 in words is "one trillion, two billion, two hundred twenty-two million, one hundred ten thousand, eighty-one".