11110001121100 has 288 divisors, whose sum is σ = 28611480748032. Its totient is φ = 3665606400000.

The previous prime is 11110001121097. The next prime is 11110001121187. The reversal of 11110001121100 is 112110001111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785540629 + ... + 785554771.

It is an arithmetic number, because the mean of its divisors is an integer number (99345419264).

Almost surely, 2^{11110001121100} is an apocalyptic number.

11110001121100 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 11110001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305740374016).

11110001121100 is an abundant number, since it is smaller than the sum of its proper divisors (17501479626932).

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

11110001121100 is a wasteful number, since it uses less digits than its factorization.

11110001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11110001121100 its reverse (112110001111), we get a palindrome (11222111122211).

It can be divided in two parts, 111100011 and 21100, that added together give a palindrome (111121111).

The spelling of 11110001121100 in words is "eleven trillion, one hundred ten billion, one million, one hundred twenty-one thousand, one hundred".