10142563326641 has 2 divisors, whose sum is σ = 10142563326642. Its totient is φ = 10142563326640.

The previous prime is 10142563326527. The next prime is 10142563326667. The reversal of 10142563326641 is 14662336524101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9690744096016 + 451819230625 = 3112996^2 + 672175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142563326641 - 2³⁴ = 10125383457457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10142563326592 and 10142563326601.

It is not a weakly prime, because it can be changed into another prime (10142563322641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071281663320 + 5071281663321.

It is an arithmetic number, because the mean of its divisors is an integer number (5071281663321).

Almost surely, 2^{10142563326641} is an apocalyptic number.

It is an amenable number.

10142563326641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142563326641 is an equidigital number, since it uses as much as digits as its factorization.

10142563326641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 10142563326641 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, three hundred twenty-six thousand, six hundred forty-one".