10129807661 has 2 divisors, whose sum is σ = 10129807662. Its totient is φ = 10129807660.

The previous prime is 10129807657. The next prime is 10129807673. The reversal of 10129807661 is 16670892101.

10129807661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9930122500 + 199685161 = 99650^2 + 14131^2 .

It is an emirp because it is prime and its reverse (16670892101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10129807661 - 2² = 10129807657 is a prime.

It is a super-2 number, since 2×10129807661² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10129807631) 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, 5064903830 + 5064903831.

It is an arithmetic number, because the mean of its divisors is an integer number (5064903831).

Almost surely, 2^10129807661 is an apocalyptic number.

It is an amenable number.

10129807661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129807661 is an equidigital number, since it uses as much as digits as its factorization.

10129807661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 10129807661 in words is "ten billion, one hundred twenty-nine million, eight hundred seven thousand, six hundred sixty-one".