111100434010441 has 8 divisors (see below), whose sum is σ = 117635845782024. Its totient is φ = 104565032474880.

The previous prime is 111100434010411. The next prime is 111100434010451. The reversal of 111100434010441 is 144010434001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55317893760000 + 55782540250441 = 7437600^2 + 7468771^2 .

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 111100434010441 - 2³¹ = 111098286526793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100434010411) 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, 40216971 + ... + 42890623.

It is an arithmetic number, because the mean of its divisors is an integer number (14704480722753).

Almost surely, 2^{111100434010441} is an apocalyptic number.

It is an amenable number.

111100434010441 is a deficient number, since it is larger than the sum of its proper divisors (6535411771583).

111100434010441 is a wasteful number, since it uses less digits than its factorization.

111100434010441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118011.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 111100434010441 its reverse (144010434001111), we get a palindrome (255110868011552).

The spelling of 111100434010441 in words is "one hundred eleven trillion, one hundred billion, four hundred thirty-four million, ten thousand, four hundred forty-one".