11022221100 has 288 divisors, whose sum is σ = 36797644800. Its totient is φ = 2519251200.

The previous prime is 11022221087. The next prime is 11022221137. The reversal of 11022221100 is 112222011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23010661 + ... + 23011139.

It is an arithmetic number, because the mean of its divisors is an integer number (127769600).

Almost surely, 2^11022221100 is an apocalyptic number.

11022221100 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 11022221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398822400).

11022221100 is an abundant number, since it is smaller than the sum of its proper divisors (25775423700).

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

11022221100 is a wasteful number, since it uses less digits than its factorization.

11022221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022221100 its reverse (112222011), we get a palindrome (11134443111).

The spelling of 11022221100 in words is "eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred".