10271290844641 has 2 divisors, whose sum is σ = 10271290844642. Its totient is φ = 10271290844640.

The previous prime is 10271290844597. The next prime is 10271290844663. The reversal of 10271290844641 is 14644809217201.

10271290844641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10270999425600 + 291419041 = 3204840^2 + 17071^2 .

It is a cyclic number.

It is not a de Polignac number, because 10271290844641 - 2²⁹ = 10270753973729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10271290844681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5135645422320 + 5135645422321.

It is an arithmetic number, because the mean of its divisors is an integer number (5135645422321).

Almost surely, 2^{10271290844641} is an apocalyptic number.

It is an amenable number.

10271290844641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10271290844641 is an equidigital number, since it uses as much as digits as its factorization.

10271290844641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 10271290844641 in words is "ten trillion, two hundred seventy-one billion, two hundred ninety million, eight hundred forty-four thousand, six hundred forty-one".