111000111001009 has 8 divisors (see below), whose sum is σ = 117599948456040. Its totient is φ = 104408097897216.

The previous prime is 111000111001007. The next prime is 111000111001027. The reversal of 111000111001009 is 900100111000111.

It can be written as a sum of positive squares in 4 ways, for example, as 39639263424784 + 71360847576225 = 6295972^2 + 8447535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111000111001009 - 2¹ = 111000111001007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111000111000983 and 111000111001001.

It is not an unprimeable number, because it can be changed into a prime (111000111001007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1956058594 + ... + 1956115339.

It is an arithmetic number, because the mean of its divisors is an integer number (14699993557005).

Almost surely, 2^{111000111001009} is an apocalyptic number.

It is an amenable number.

111000111001009 is a deficient number, since it is larger than the sum of its proper divisors (6599837455031).

111000111001009 is a wasteful number, since it uses less digits than its factorization.

111000111001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912175619.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 111000111001009 in words is "one hundred eleven trillion, one hundred eleven million, one thousand, nine".