11200100112 has 120 divisors (see below), whose sum is σ = 32418067968. Its totient is φ = 3605990400.

The previous prime is 11200100111. The next prime is 11200100147. The reversal of 11200100112 is 21100100211.

It is a happy number.

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 = 11200100094 and 11200100103.

It is not an unprimeable number, because it can be changed into a prime (11200100111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2645037 + ... + 2649267.

Almost surely, 2^11200100112 is an apocalyptic number.

11200100112 is a gapful number since it is divisible by the number (12) 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 11200100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209033984).

11200100112 is an abundant number, since it is smaller than the sum of its proper divisors (21217967856).

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

11200100112 is a wasteful number, since it uses less digits than its factorization.

11200100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11200100112 its reverse (21100100211), we get a palindrome (32300200323).

Subtracting 11200100112 from its reverse (21100100211), we obtain a palindrome (9900000099).

The spelling of 11200100112 in words is "eleven billion, two hundred million, one hundred thousand, one hundred twelve".