11000222100 has 432 divisors, whose sum is σ = 41493344256. Its totient is φ = 2384640000.

The previous prime is 11000222071. The next prime is 11000222131. The reversal of 11000222100 is 122200011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9556525 + ... + 9557675.

It is an arithmetic number, because the mean of its divisors is an integer number (96049408).

Almost surely, 2^11000222100 is an apocalyptic number.

11000222100 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 11000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746672128).

11000222100 is an abundant number, since it is smaller than the sum of its proper divisors (30493122156).

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

11000222100 is a wasteful number, since it uses less digits than its factorization.

11000222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1246 counting only the distinct ones).

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

Adding to 11000222100 its reverse (122200011), we get a palindrome (11122422111).

The spelling of 11000222100 in words is "eleven billion, two hundred twenty-two thousand, one hundred".