11201222100 has 72 divisors (see below), whose sum is σ = 32543555968. Its totient is φ = 2974579200.

The previous prime is 11201222083. The next prime is 11201222141. The reversal of 11201222100 is 122210211.

11201222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5164 + ... + 149763.

Almost surely, 2^11201222100 is an apocalyptic number.

11201222100 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 11201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271777984).

11201222100 is an abundant number, since it is smaller than the sum of its proper divisors (21342333868).

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

11201222100 is a wasteful number, since it uses less digits than its factorization.

11201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155185 (or 155178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11201222100 its reverse (122210211), we get a palindrome (11323432311).

The spelling of 11201222100 in words is "eleven billion, two hundred one million, two hundred twenty-two thousand, one hundred".