10041100121441 has 2 divisors, whose sum is σ = 10041100121442. Its totient is φ = 10041100121440.

The previous prime is 10041100121413. The next prime is 10041100121443. The reversal of 10041100121441 is 14412100114001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9004920672400 + 1036179449041 = 3000820^2 + 1017929^2 .

It is an emirp because it is prime and its reverse (14412100114001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10041100121441 is a prime.

Together with 10041100121443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10041100121443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020550060720 + 5020550060721.

It is an arithmetic number, because the mean of its divisors is an integer number (5020550060721).

Almost surely, 2^{10041100121441} is an apocalyptic number.

It is an amenable number.

10041100121441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041100121441 is an equidigital number, since it uses as much as digits as its factorization.

10041100121441 is an evil number, because the sum of its binary digits is even.

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

Adding to 10041100121441 its reverse (14412100114001), we get a palindrome (24453200235442).

The spelling of 10041100121441 in words is "ten trillion, forty-one billion, one hundred million, one hundred twenty-one thousand, four hundred forty-one".