112000111101009 has 96 divisors (see below), whose sum is σ = 167793346056960. Its totient is φ = 71934289104384.

The previous prime is 112000111101001. The next prime is 112000111101017. The reversal of 112000111101009 is 900101111000211.

It is an interprime number because it is at equal distance from previous prime (112000111101001) and next prime (112000111101017).

It is not a de Polignac number, because 112000111101009 - 2³ = 112000111101001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112000111100982 and 112000111101000.

It is not an unprimeable number, because it can be changed into a prime (112000111101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18261877107 + ... + 18261883239.

It is an arithmetic number, because the mean of its divisors is an integer number (1747847354760).

Almost surely, 2^{112000111101009} is an apocalyptic number.

It is an amenable number.

112000111101009 is a deficient number, since it is larger than the sum of its proper divisors (55793234955951).

112000111101009 is a wasteful number, since it uses less digits than its factorization.

112000111101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7588 counting only the distinct ones).

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

The spelling of 112000111101009 in words is "one hundred twelve trillion, one hundred eleven million, one hundred one thousand, nine".