10029200681 has 2 divisors, whose sum is σ = 10029200682. Its totient is φ = 10029200680.

The previous prime is 10029200641. The next prime is 10029200683. The reversal of 10029200681 is 18600292001.

10029200681 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., 6850045225 + 3179155456 = 82765^2 + 56384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10029200681 is a prime.

It is a super-2 number, since 2×10029200681² (a number of 21 digits) contains 22 as substring.

Together with 10029200683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10029200683) 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, 5014600340 + 5014600341.

It is an arithmetic number, because the mean of its divisors is an integer number (5014600341).

Almost surely, 2^10029200681 is an apocalyptic number.

It is an amenable number.

10029200681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029200681 is an equidigital number, since it uses as much as digits as its factorization.

10029200681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 10029200681 its reverse (18600292001), we get a palindrome (28629492682).

The spelling of 10029200681 in words is "ten billion, twenty-nine million, two hundred thousand, six hundred eighty-one".