10000001000681 has 2 divisors, whose sum is σ = 10000001000682. Its totient is φ = 10000001000680.

The previous prime is 10000001000599. The next prime is 10000001000699. The reversal of 10000001000681 is 18600010000001.

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., 7976196014656 + 2023804986025 = 2824216^2 + 1422605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000001000681 is a prime.

It is a super-2 number, since 2×10000001000681² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10000001009681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000500340 + 5000000500341.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000500341).

Almost surely, 2^{10000001000681} is an apocalyptic number.

It is an amenable number.

10000001000681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001000681 is an equidigital number, since it uses as much as digits as its factorization.

10000001000681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10000001000681 its reverse (18600010000001), we get a palindrome (28600011000682).

The spelling of 10000001000681 in words is "ten trillion, one million, six hundred eighty-one", and thus it is an aban number.