11122222022100 has 648 divisors, whose sum is σ = 41357275261848. Its totient is φ = 2491940505600.

The previous prime is 11122222022057. The next prime is 11122222022111. The reversal of 11122222022100 is 122022222111.

It is a happy number.

11122222022100 is a `hidden beast` number, since 1 + 1 + 1 + 222 + 220 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6079439785104 + 5042782236996 = 2465652^2 + 2245614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4349714022 + ... + 4349716578.

It is an arithmetic number, because the mean of its divisors is an integer number (63822955651).

Almost surely, 2^{11122222022100} is an apocalyptic number.

11122222022100 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 11122222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20678637630924).

11122222022100 is an abundant number, since it is smaller than the sum of its proper divisors (30235053239748).

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

11122222022100 is a wasteful number, since it uses less digits than its factorization.

11122222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122222022100 its reverse (122022222111), we get a palindrome (11244244244211).

The spelling of 11122222022100 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-two million, twenty-two thousand, one hundred".