2221002002041 has 2 divisors, whose sum is σ = 2221002002042. Its totient is φ = 2221002002040.

The previous prime is 2221002002039. The next prime is 2221002002083. The reversal of 2221002002041 is 1402002001222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1307775216400 + 913226785641 = 1143580^2 + 955629^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221002002041 - 2¹ = 2221002002039 is a prime.

Together with 2221002002039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2221002002341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110501001020 + 1110501001021.

It is an arithmetic number, because the mean of its divisors is an integer number (1110501001021).

Almost surely, 2^{2221002002041} is an apocalyptic number.

It is an amenable number.

2221002002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221002002041 is an equidigital number, since it uses as much as digits as its factorization.

2221002002041 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 16.

Adding to 2221002002041 its reverse (1402002001222), we get a palindrome (3623004003263).

The spelling of 2221002002041 in words is "two trillion, two hundred twenty-one billion, two million, two thousand, forty-one".