10001222112041 has 2 divisors, whose sum is σ = 10001222112042. Its totient is φ = 10001222112040.

The previous prime is 10001222111981. The next prime is 10001222112043. The reversal of 10001222112041 is 14021122210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7834423392016 + 2166798720025 = 2799004^2 + 1472005^2 .

It is an emirp because it is prime and its reverse (14021122210001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001222112041 is a prime.

It is a Sophie Germain prime.

Together with 10001222112043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10001222112043) 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, 5000611056020 + 5000611056021.

It is an arithmetic number, because the mean of its divisors is an integer number (5000611056021).

Almost surely, 2^{10001222112041} is an apocalyptic number.

It is an amenable number.

10001222112041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001222112041 is an equidigital number, since it uses as much as digits as its factorization.

10001222112041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10001222112041 its reverse (14021122210001), we get a palindrome (24022344322042).

The spelling of 10001222112041 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred twelve thousand, forty-one".