101166112 has 24 divisors (see below), whose sum is σ = 199819116. Its totient is φ = 50418432.

The previous prime is 101166077. The next prime is 101166139. The reversal of 101166112 is 211661101.

It can be written as a sum of positive squares in 2 ways, for example, as 78925456 + 22240656 = 8884^2 + 4716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101166112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5158 + ... + 15130.

Almost surely, 2^101166112 is an apocalyptic number.

It is an amenable number.

101166112 is a deficient number, since it is larger than the sum of its proper divisors (98653004).

101166112 is an equidigital number, since it uses as much as digits as its factorization.

101166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10300 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 101166112 is about 10058.1366067478. The cubic root of 101166112 is about 465.9561195765.

The spelling of 101166112 in words is "one hundred one million, one hundred sixty-six thousand, one hundred twelve".