10117827027 has 96 divisors (see below), whose sum is σ = 18939248640. Its totient is φ = 5051160000.

The previous prime is 10117827011. The next prime is 10117827043. The reversal of 10117827027 is 72072871101.

10117827027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10117827011) and next prime (10117827043).

It is not a de Polignac number, because 10117827027 - 2⁴ = 10117827011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10117826982 and 10117827000.

It is not an unprimeable number, because it can be changed into a prime (10117827007) 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 in 95 ways as a sum of consecutive naturals, for example, 3242374 + ... + 3245492.

It is an arithmetic number, because the mean of its divisors is an integer number (197283840).

Almost surely, 2^10117827027 is an apocalyptic number.

10117827027 is a deficient number, since it is larger than the sum of its proper divisors (8821421613).

10117827027 is a wasteful number, since it uses less digits than its factorization.

10117827027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 10117827027 in words is "ten billion, one hundred seventeen million, eight hundred twenty-seven thousand, twenty-seven".