111000100101001 has 8 divisors (see below), whose sum is σ = 112113138225920. Its totient is φ = 109887742115712.

The previous prime is 111000100100987. The next prime is 111000100101031. The reversal of 111000100101001 is 100101001000111.

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 111000100101001 - 2²¹ = 111000098003849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111000100101031) 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 7 ways as a sum of consecutive naturals, for example, 169706865 + ... + 170359678.

It is an arithmetic number, because the mean of its divisors is an integer number (14014142278240).

Almost surely, 2^{111000100101001} is an apocalyptic number.

It is an amenable number.

111000100101001 is a deficient number, since it is larger than the sum of its proper divisors (1113038124919).

111000100101001 is a wasteful number, since it uses less digits than its factorization.

111000100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340069815.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111000100101001 its reverse (100101001000111), we get a palindrome (211101101101112).

It can be divided in two parts, 111000 and 100101001, that added together give a palindrome (100212001).

The spelling of 111000100101001 in words is "one hundred eleven trillion, one hundred million, one hundred one thousand, one".