11011102200100 has 18 divisors (see below), whose sum is σ = 23894091774434. Its totient is φ = 4404440880000.

The previous prime is 11011102200089. The next prime is 11011102200121. The reversal of 11011102200100 is 100220111011.

It can be written as a sum of positive squares in 3 ways, for example, as 1488829470976 + 9522272729124 = 1220176^2 + 3085818^2 .

It is a super-2 number, since 2×11011102200100² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55055510901 + ... + 55055511100.

Almost surely, 2^{11011102200100} is an apocalyptic number.

11011102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011102200100 is an abundant number, since it is smaller than the sum of its proper divisors (12882989574334).

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

11011102200100 is a wasteful number, since it uses less digits than its factorization.

11011102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110111022015 (or 110111022008 counting only the distinct ones).

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

Adding to 11011102200100 its reverse (100220111011), we get a palindrome (11111322311111).

The spelling of 11011102200100 in words is "eleven trillion, eleven billion, one hundred two million, two hundred thousand, one hundred".