8001212121041 has 2 divisors, whose sum is σ = 8001212121042. Its totient is φ = 8001212121040.

The previous prime is 8001212120983. The next prime is 8001212121103. The reversal of 8001212121041 is 1401212121008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7968340980625 + 32871140416 = 2822825^2 + 181304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8001212121041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8001212120998 and 8001212121016.

It is not a weakly prime, because it can be changed into another prime (8001212121541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000606060520 + 4000606060521.

It is an arithmetic number, because the mean of its divisors is an integer number (4000606060521).

Almost surely, 2^{8001212121041} is an apocalyptic number.

It is an amenable number.

8001212121041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8001212121041 is an equidigital number, since it uses as much as digits as its factorization.

8001212121041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 8001212121041 its reverse (1401212121008), we get a palindrome (9402424242049).

The spelling of 8001212121041 in words is "eight trillion, one billion, two hundred twelve million, one hundred twenty-one thousand, forty-one".