11201110000200 has 72 divisors (see below), whose sum is σ = 37617061090050. Its totient is φ = 2986962666240.

The previous prime is 11201110000193. The next prime is 11201110000207. The reversal of 11201110000200 is 200001110211.

It is a happy number.

11201110000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11201110000193) and next prime (11201110000207).

It can be written as a sum of positive squares in 3 ways, for example, as 10695921693444 + 505188306756 = 3270462^2 + 710766^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (11201110000207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3111417645 + ... + 3111421244.

Almost surely, 2^{11201110000200} is an apocalyptic number.

11201110000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201110000200 is an abundant number, since it is smaller than the sum of its proper divisors (26415951089850).

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

11201110000200 is a wasteful number, since it uses less digits than its factorization.

11201110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222838911 (or 6222838899 counting only the distinct ones).

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

Adding to 11201110000200 its reverse (200001110211), we get a palindrome (11401111110411).

The spelling of 11201110000200 in words is "eleven trillion, two hundred one billion, one hundred ten million, two hundred", and thus it is an aban number.