11101100112 has 80 divisors (see below), whose sum is σ = 32146394880. Its totient is φ = 3667603968.

The previous prime is 11101100083. The next prime is 11101100119. The reversal of 11101100112 is 21100110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11101100094 and 11101100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64888 + ... + 162519.

It is an arithmetic number, because the mean of its divisors is an integer number (401829936).

Almost surely, 2^11101100112 is an apocalyptic number.

11101100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101100112 is an abundant number, since it is smaller than the sum of its proper divisors (21045294768).

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

11101100112 is a wasteful number, since it uses less digits than its factorization.

11101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227537 (or 227525 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101100112 its reverse (21100110111), we get a palindrome (32201210223).

Subtracting 11101100112 from its reverse (21100110111), we obtain a palindrome (9999009999).

The spelling of 11101100112 in words is "eleven billion, one hundred one million, one hundred thousand, one hundred twelve".