10566116101 has 2 divisors, whose sum is σ = 10566116102. Its totient is φ = 10566116100.

The previous prime is 10566116083. The next prime is 10566116117. The reversal of 10566116101 is 10161166501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8966196100 + 1599920001 = 94690^2 + 39999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10566116101 is a prime.

It is a super-2 number, since 2×10566116101² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10566116101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10566116801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5283058050 + 5283058051.

It is an arithmetic number, because the mean of its divisors is an integer number (5283058051).

Almost surely, 2^10566116101 is an apocalyptic number.

It is an amenable number.

10566116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10566116101 is an equidigital number, since it uses as much as digits as its factorization.

10566116101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 10566116101 in words is "ten billion, five hundred sixty-six million, one hundred sixteen thousand, one hundred one".