111100010100000 has 576 divisors, whose sum is σ = 368660121742080. Its totient is φ = 29291328000000.

The previous prime is 111100010099987. The next prime is 111100010100007. The reversal of 111100010100000 is 1010001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (111100010100007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25118697789 + ... + 25118702211.

It is an arithmetic number, because the mean of its divisors is an integer number (640034933580).

Almost surely, 2^{111100010100000} is an apocalyptic number.

111100010100000 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 111100010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184330060871040).

111100010100000 is an abundant number, since it is smaller than the sum of its proper divisors (257560111642080).

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

111100010100000 is an equidigital number, since it uses as much as digits as its factorization.

111100010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100010100000 its reverse (1010001111), we get a palindrome (111101020101111).

It can be divided in two parts, 11 and 1100010100000, that added together give a palindrome (1100010100011).

The spelling of 111100010100000 in words is "one hundred eleven trillion, one hundred billion, ten million, one hundred thousand".