11201200100100 has 216 divisors, whose sum is σ = 35581161175560. Its totient is φ = 2947008768000.

The previous prime is 11201200100047. The next prime is 11201200100113. The reversal of 11201200100100 is 100100210211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2139029101764 + 9062170998336 = 1462542^2 + 3010344^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36774430 + ... + 37077770.

It is an arithmetic number, because the mean of its divisors is an integer number (164727598035).

Almost surely, 2^{11201200100100} is an apocalyptic number.

11201200100100 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 11201200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790580587780).

11201200100100 is an abundant number, since it is smaller than the sum of its proper divisors (24379961075460).

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

11201200100100 is a wasteful number, since it uses less digits than its factorization.

11201200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303911 (or 303901 counting only the distinct ones).

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

Adding to 11201200100100 its reverse (100100210211), we get a palindrome (11301300310311).

The spelling of 11201200100100 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred thousand, one hundred".