10566084533101 has 2 divisors, whose sum is σ = 10566084533102. Its totient is φ = 10566084533100.

The previous prime is 10566084533087. The next prime is 10566084533113. The reversal of 10566084533101 is 10133548066501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9857709810601 + 708374722500 = 3139699^2 + 841650^2 .

It is a cyclic number.

It is not a de Polignac number, because 10566084533101 - 2³⁷ = 10428645579629 is a prime.

It is a super-2 number, since 2×10566084533101² (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 (10566084533161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5283042266550 + 5283042266551.

It is an arithmetic number, because the mean of its divisors is an integer number (5283042266551).

Almost surely, 2^{10566084533101} is an apocalyptic number.

It is an amenable number.

10566084533101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10566084533101 is an equidigital number, since it uses as much as digits as its factorization.

10566084533101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 10566084533101 in words is "ten trillion, five hundred sixty-six billion, eighty-four million, five hundred thirty-three thousand, one hundred one".