11112100000100 has 72 divisors (see below), whose sum is σ = 26317296085248. Its totient is φ = 4038931868800.

The previous prime is 11112100000097. The next prime is 11112100000139. The reversal of 11112100000100 is 100000121111.

It is a happy number.

11112100000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 139094 + ... + 4716306.

It is an arithmetic number, because the mean of its divisors is an integer number (365518001184).

Almost surely, 2^{11112100000100} is an apocalyptic number.

11112100000100 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 11112100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158648042624).

11112100000100 is an abundant number, since it is smaller than the sum of its proper divisors (15205196085148).

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

11112100000100 is a wasteful number, since it uses less digits than its factorization.

11112100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579445 (or 4579438 counting only the distinct ones).

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

Adding to 11112100000100 its reverse (100000121111), we get a palindrome (11212100121211).

The spelling of 11112100000100 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred", and thus it is an aban number.