10012135025441 has 2 divisors, whose sum is σ = 10012135025442. Its totient is φ = 10012135025440.

The previous prime is 10012135025429. The next prime is 10012135025443. The reversal of 10012135025441 is 14452053121001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9484681437841 + 527453587600 = 3079721^2 + 726260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012135025441 - 2⁶ = 10012135025377 is a prime.

It is a super-3 number, since 3×10012135025441³ (a number of 40 digits) contains 333 as substring.

Together with 10012135025443, 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 (10012135025443) 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, 5006067512720 + 5006067512721.

It is an arithmetic number, because the mean of its divisors is an integer number (5006067512721).

Almost surely, 2^{10012135025441} is an apocalyptic number.

It is an amenable number.

10012135025441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012135025441 is an equidigital number, since it uses as much as digits as its factorization.

10012135025441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 10012135025441 its reverse (14452053121001), we get a palindrome (24464188146442).

The spelling of 10012135025441 in words is "ten trillion, twelve billion, one hundred thirty-five million, twenty-five thousand, four hundred forty-one".