10967866064101 has 2 divisors, whose sum is σ = 10967866064102. Its totient is φ = 10967866064100.

The previous prime is 10967866064087. The next prime is 10967866064107. The reversal of 10967866064101 is 10146066876901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7584510492001 + 3383355572100 = 2753999^2 + 1839390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10967866064101 is a prime.

It is a super-2 number, since 2×10967866064101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10967866064107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5483933032050 + 5483933032051.

It is an arithmetic number, because the mean of its divisors is an integer number (5483933032051).

Almost surely, 2^{10967866064101} is an apocalyptic number.

It is an amenable number.

10967866064101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10967866064101 is an equidigital number, since it uses as much as digits as its factorization.

10967866064101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 10967866064101 in words is "ten trillion, nine hundred sixty-seven billion, eight hundred sixty-six million, sixty-four thousand, one hundred one".