111111110101001 has 8 divisors (see below), whose sum is σ = 111335350230720. Its totient is φ = 110886883239312.

The previous prime is 111111110100997. The next prime is 111111110101073. The reversal of 111111110101001 is 100101011111111.

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 111111110101001 - 2² = 111111110100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111110101801) 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, 13534886 + ... + 20134928.

It is an arithmetic number, because the mean of its divisors is an integer number (13916918778840).

Almost surely, 2^{111111110101001} is an apocalyptic number.

It is an amenable number.

111111110101001 is a deficient number, since it is larger than the sum of its proper divisors (224240129719).

111111110101001 is an equidigital number, since it uses as much as digits as its factorization.

111111110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634015.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111111110101001 its reverse (100101011111111), we get a palindrome (211212121212112).

It can be divided in two parts, 111111110 and 101001, that added together give a palindrome (111212111).

The spelling of 111111110101001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, one".