111112011001001 has 8 divisors (see below), whose sum is σ = 113076132300360. Its totient is φ = 109163793518208.

The previous prime is 111112011000979. The next prime is 111112011001031. The reversal of 111112011001001 is 100100110211111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 124837848976 + 110987173152025 = 353324^2 + 10535045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111112011001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111112011001031) 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, 3975940046 + ... + 3975967991.

It is an arithmetic number, because the mean of its divisors is an integer number (14134516537545).

Almost surely, 2^{111112011001001} is an apocalyptic number.

It is an amenable number.

111112011001001 is a deficient number, since it is larger than the sum of its proper divisors (1964121299359).

111112011001001 is an equidigital number, since it uses as much as digits as its factorization.

111112011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951908283.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111112011001001 its reverse (100100110211111), we get a palindrome (211212121212112).

The spelling of 111112011001001 in words is "one hundred eleven trillion, one hundred twelve billion, eleven million, one thousand, one".