11011100112100 has 144 divisors (see below), whose sum is σ = 27602590821120. Its totient is φ = 3768094771200.

The previous prime is 11011100112053. The next prime is 11011100112139. The reversal of 11011100112100 is 121100111011.

11011100112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 207898822 + ... + 207951778.

It is an arithmetic number, because the mean of its divisors is an integer number (191684658480).

Almost surely, 2^{11011100112100} is an apocalyptic number.

11011100112100 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 11011100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801295410560).

11011100112100 is an abundant number, since it is smaller than the sum of its proper divisors (16591490709020).

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

11011100112100 is a wasteful number, since it uses less digits than its factorization.

11011100112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64118 (or 64111 counting only the distinct ones).

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

Adding to 11011100112100 its reverse (121100111011), we get a palindrome (11132200223111).

The spelling of 11011100112100 in words is "eleven trillion, eleven billion, one hundred million, one hundred twelve thousand, one hundred".