11222100 has 108 divisors (see below), whose sum is σ = 36232924. Its totient is φ = 2903040.

The previous prime is 11222089. The next prime is 11222129. The reversal of 11222100 is 122211.

11222100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12996 + 11209104 = 114^2 + 3348^2 .

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33132 + ... + 33468.

Almost surely, 2^11222100 is an apocalyptic number.

11222100 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 11222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116462).

11222100 is an abundant number, since it is smaller than the sum of its proper divisors (25010824).

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

11222100 is a wasteful number, since it uses less digits than its factorization.

11222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11222100 is about 3349.9402979755. The cubic root of 11222100 is about 223.8848525957.

Adding to 11222100 its reverse (122211), we get a palindrome (11344311).

It can be divided in two parts, 11 and 222100, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 11222100 in words is "eleven million, two hundred twenty-two thousand, one hundred".