11201100012 has 192 divisors, whose sum is σ = 32267289600. Its totient is φ = 3343979520.

The previous prime is 11201100007. The next prime is 11201100047. The reversal of 11201100012 is 21000110211.

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 = 11201099967 and 11201100003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3778843 + ... + 3781805.

It is an arithmetic number, because the mean of its divisors is an integer number (168058800).

Almost surely, 2^11201100012 is an apocalyptic number.

11201100012 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 11201100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

11201100012 is an abundant number, since it is smaller than the sum of its proper divisors (21066189588).

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

11201100012 is a wasteful number, since it uses less digits than its factorization.

11201100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

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

Adding to 11201100012 its reverse (21000110211), we get a palindrome (32201210223).

The spelling of 11201100012 in words is "eleven billion, two hundred one million, one hundred thousand, twelve".