11100000100112 has 240 divisors, whose sum is σ = 27884467779840. Its totient is φ = 4230838886400.

The previous prime is 11100000100051. The next prime is 11100000100121. The reversal of 11100000100112 is 21100100000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11100000100112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289344064 + ... + 1289352672.

It is an arithmetic number, because the mean of its divisors is an integer number (116185282416).

Almost surely, 2^{11100000100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942233889920).

11100000100112 is an abundant number, since it is smaller than the sum of its proper divisors (16784467679728).

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

11100000100112 is a wasteful number, since it uses less digits than its factorization.

11100000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11100000100112 its reverse (21100100000111), we get a palindrome (32200100100223).

The spelling of 11100000100112 in words is "eleven trillion, one hundred billion, one hundred thousand, one hundred twelve".