11011221100 has 144 divisors (see below), whose sum is σ = 26739288576. Its totient is φ = 3901536000.

The previous prime is 11011221097. The next prime is 11011221131. The reversal of 11011221100 is 112211011.

It is a super-2 number, since 2×11011221100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19283815 + ... + 19284385.

It is an arithmetic number, because the mean of its divisors is an integer number (185689504).

Almost surely, 2^11011221100 is an apocalyptic number.

11011221100 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 11011221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369644288).

11011221100 is an abundant number, since it is smaller than the sum of its proper divisors (15728067476).

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

11011221100 is a wasteful number, since it uses less digits than its factorization.

11011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011221100 its reverse (112211011), we get a palindrome (11123432111).

It can be divided in two parts, 1 and 1011221100, that added together give a palindrome (1011221101).

The spelling of 11011221100 in words is "eleven billion, eleven million, two hundred twenty-one thousand, one hundred".