101112009 has 32 divisors (see below), whose sum is σ = 145117440. Its totient is φ = 62496000.

The previous prime is 101111917. The next prime is 101112013. The reversal of 101112009 is 900211101.

It is not a de Polignac number, because 101112009 - 2²¹ = 99014857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101112029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324964 + ... + 325274.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920).

Almost surely, 2^101112009 is an apocalyptic number.

It is an amenable number.

101112009 is a deficient number, since it is larger than the sum of its proper divisors (44005431).

101112009 is a wasteful number, since it uses less digits than its factorization.

101112009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101112009 is about 10055.4467329900. The cubic root of 101112009 is about 465.8730412981.

The spelling of 101112009 in words is "one hundred one million, one hundred twelve thousand, nine".