10721011697129 has 2 divisors, whose sum is σ = 10721011697130. Its totient is φ = 10721011697128.

The previous prime is 10721011697087. The next prime is 10721011697131. The reversal of 10721011697129 is 92179611012701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10037871427600 + 683140269529 = 3168260^2 + 826523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10721011697129 is a prime.

It is a super-2 number, since 2×10721011697129² (a number of 27 digits) contains 22 as substring.

Together with 10721011697131, 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 (10721011697329) 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, 5360505848564 + 5360505848565.

It is an arithmetic number, because the mean of its divisors is an integer number (5360505848565).

Almost surely, 2^{10721011697129} is an apocalyptic number.

It is an amenable number.

10721011697129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721011697129 is an equidigital number, since it uses as much as digits as its factorization.

10721011697129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 47.

The spelling of 10721011697129 in words is "ten trillion, seven hundred twenty-one billion, eleven million, six hundred ninety-seven thousand, one hundred twenty-nine".