111100101100000 has 144 divisors (see below), whose sum is σ = 273642395672016. Its totient is φ = 44399486080000.

The previous prime is 111100101099997. The next prime is 111100101100013. The reversal of 111100101100000 is 1101001111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109193619 + ... + 110206381.

It is an arithmetic number, because the mean of its divisors is an integer number (1900294414389).

Almost surely, 2^{111100101100000} is an apocalyptic number.

111100101100000 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 111100101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136821197836008).

111100101100000 is an abundant number, since it is smaller than the sum of its proper divisors (162542294572016).

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

111100101100000 is an equidigital number, since it uses as much as digits as its factorization.

111100101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013895 (or 1013867 counting only the distinct ones).

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

Adding to 111100101100000 its reverse (1101001111), we get a palindrome (111101202101111).

The spelling of 111100101100000 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred thousand".