110001111100000 has 144 divisors (see below), whose sum is σ = 272635968150000. Its totient is φ = 43683888960000.

The previous prime is 110001111099977. The next prime is 110001111100003. The reversal of 110001111100000 is 1111100011.

It is a happy number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001111100003) 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 23 ways as a sum of consecutive naturals, for example, 9943126 + ... + 17856874.

It is an arithmetic number, because the mean of its divisors is an integer number (1893305334375).

Almost surely, 2^{110001111100000} is an apocalyptic number.

110001111100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136317984075000).

110001111100000 is an abundant number, since it is smaller than the sum of its proper divisors (162634857050000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110001111100000 is an frugal number, since it uses more digits than its factorization.

110001111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913923 (or 7913895 counting only the distinct ones).

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

Adding to 110001111100000 its reverse (1111100011), we get a palindrome (110002222200011).

The spelling of 110001111100000 in words is "one hundred ten trillion, one billion, one hundred eleven million, one hundred thousand".