10682968129091 has 2 divisors, whose sum is σ = 10682968129092. Its totient is φ = 10682968129090.

The previous prime is 10682968129007. The next prime is 10682968129151. The reversal of 10682968129091 is 19092186928601.

10682968129091 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 is a cyclic number.

It is not a de Polignac number, because 10682968129091 - 2¹⁰ = 10682968128067 is a prime.

It is a super-2 number, since 2×10682968129091² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10682968129391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5341484064545 + 5341484064546.

It is an arithmetic number, because the mean of its divisors is an integer number (5341484064546).

Almost surely, 2^{10682968129091} is an apocalyptic number.

10682968129091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10682968129091 is an equidigital number, since it uses as much as digits as its factorization.

10682968129091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6718464, while the sum is 62.

The spelling of 10682968129091 in words is "ten trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, ninety-one".