2002222102081 has 2 divisors, whose sum is σ = 2002222102082. Its totient is φ = 2002222102080.

The previous prime is 2002222102073. The next prime is 2002222102129. The reversal of 2002222102081 is 1802012222002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1922368385025 + 79853717056 = 1386495^2 + 282584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002222102081 - 2³ = 2002222102073 is a prime.

It is a super-2 number, since 2×2002222102081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002222102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001111051040 + 1001111051041.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111051041).

Almost surely, 2^{2002222102081} is an apocalyptic number.

It is an amenable number.

2002222102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222102081 is an equidigital number, since it uses as much as digits as its factorization.

2002222102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2002222102081 its reverse (1802012222002), we get a palindrome (3804234324083).

The spelling of 2002222102081 in words is "two trillion, two billion, two hundred twenty-two million, one hundred two thousand, eighty-one".