11221211100 has 288 divisors, whose sum is σ = 36182184192. Its totient is φ = 2662400000.

The previous prime is 11221211041. The next prime is 11221211101. The reversal of 11221211100 is 111212211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43662172 + ... + 43662428.

It is an arithmetic number, because the mean of its divisors is an integer number (125632584).

Almost surely, 2^11221211100 is an apocalyptic number.

11221211100 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 11221211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18091092096).

11221211100 is an abundant number, since it is smaller than the sum of its proper divisors (24960973092).

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

11221211100 is a wasteful number, since it uses less digits than its factorization.

11221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221211100 its reverse (111212211), we get a palindrome (11332423311).

It can be divided in two parts, 112 and 21211100, that added together give a palindrome (21211212).

The spelling of 11221211100 in words is "eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".