11102221000100 has 72 divisors (see below), whose sum is σ = 24925897765440. Its totient is φ = 4287182139520.

The previous prime is 11102221000049. The next prime is 11102221000127. The reversal of 11102221000100 is 100012220111.

It is a super-2 number, since 2×11102221000100² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 21808667 + ... + 22311933.

It is an arithmetic number, because the mean of its divisors is an integer number (346193024520).

Almost surely, 2^{11102221000100} is an apocalyptic number.

11102221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102221000100 is an abundant number, since it is smaller than the sum of its proper divisors (13823676765340).

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

11102221000100 is a wasteful number, since it uses less digits than its factorization.

11102221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510917 (or 510910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11102221000100 its reverse (100012220111), we get a palindrome (11202233220211).

The spelling of 11102221000100 in words is "eleven trillion, one hundred two billion, two hundred twenty-one million, one hundred", and thus it is an aban number.