11122211100 has 972 divisors, whose sum is σ = 45759461832. Its totient is φ = 2075673600.

The previous prime is 11122211071. The next prime is 11122211101. The reversal of 11122211100 is 111222111.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122211101) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 300600282 + ... + 300600318.

Almost surely, 2^11122211100 is an apocalyptic number.

11122211100 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 11122211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879730916).

11122211100 is an abundant number, since it is smaller than the sum of its proper divisors (34637250732).

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

11122211100 is a wasteful number, since it uses less digits than its factorization.

11122211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

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

Adding to 11122211100 its reverse (111222111), we get a palindrome (11233433211).

11122211100 divided by its reverse (111222111) gives a square (100 = 10²).

It can be divided in two parts, 11122 and 211100, that added together give a palindrome (222222).

The spelling of 11122211100 in words is "eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".