11220100 has 72 divisors (see below), whose sum is σ = 26013960. Its totient is φ = 4193280.

The previous prime is 11220091. The next prime is 11220103. The reversal of 11220100 is 102211.

It can be written as a sum of positive squares in 12 ways, for example, as 1498176 + 9721924 = 1224^2 + 3118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153664 + ... + 153736.

It is an arithmetic number, because the mean of its divisors is an integer number (361305).

Almost surely, 2^11220100 is an apocalyptic number.

11220100 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 11220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006980).

11220100 is an abundant number, since it is smaller than the sum of its proper divisors (14793860).

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

11220100 is a wasteful number, since it uses less digits than its factorization.

11220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11220100 is about 3349.6417718914. The cubic root of 11220100 is about 223.8715515704.

Adding to 11220100 its reverse (102211), we get a palindrome (11322311).

It can be divided in two parts, 11 and 220100, that multiplied together give a triangular number (2421100 = T₂₂₀₀).

The spelling of 11220100 in words is "eleven million, two hundred twenty thousand, one hundred".