111111001101009 has 288 divisors, whose sum is σ = 212270938274304. Its totient is φ = 55450148382720.

The previous prime is 111111001100969. The next prime is 111111001101053. The reversal of 111111001101009 is 900101100111111.

It is not a de Polignac number, because 111111001101009 - 2⁷ = 111111001100881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111111001100982 and 111111001101000.

It is not an unprimeable number, because it can be changed into a prime (111111001101409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1099372612 + ... + 1099473674.

It is an arithmetic number, because the mean of its divisors is an integer number (737051869008).

Almost surely, 2^{111111001101009} is an apocalyptic number.

It is an amenable number.

111111001101009 is a deficient number, since it is larger than the sum of its proper divisors (101159937173295).

111111001101009 is a wasteful number, since it uses less digits than its factorization.

111111001101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101277 (or 101267 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 111111001101009 in words is "one hundred eleven trillion, one hundred eleven billion, one million, one hundred one thousand, nine".