111111001101001 has 8 divisors (see below), whose sum is σ = 125391725380800. Its totient is φ = 97526897517840.

The previous prime is 111111001100969. The next prime is 111111001101053. The reversal of 111111001101001 is 100101100111111.

It is a happy number.

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 111111001101001 - 2⁵ = 111111001100969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111001104001) 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 7 ways as a sum of consecutive naturals, for example, 174155173821 + ... + 174155174458.

It is an arithmetic number, because the mean of its divisors is an integer number (15673965672600).

Almost surely, 2^{111111001101001} is an apocalyptic number.

111111001101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111111001101001 is a deficient number, since it is larger than the sum of its proper divisors (14280724279799).

111111001101001 is a wasteful number, since it uses less digits than its factorization.

111111001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348310348319.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 111111001101001 its reverse (100101100111111), we get a palindrome (211212101212112).

The spelling of 111111001101001 in words is "one hundred eleven trillion, one hundred eleven billion, one million, one hundred one thousand, one".