11200022000100 has 216 divisors, whose sum is σ = 36069170050368. Its totient is φ = 2904781651200.

The previous prime is 11200022000093. The next prime is 11200022000119. The reversal of 11200022000100 is 100022000211.

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

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 71 ways as a sum of consecutive naturals, for example, 84215857 + ... + 84348743.

Almost surely, 2^{11200022000100} is an apocalyptic number.

11200022000100 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 11200022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034585025184).

11200022000100 is an abundant number, since it is smaller than the sum of its proper divisors (24869148050268).

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

11200022000100 is a wasteful number, since it uses less digits than its factorization.

11200022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135475 (or 135465 counting only the distinct ones).

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

Adding to 11200022000100 its reverse (100022000211), we get a palindrome (11300044000311).

The spelling of 11200022000100 in words is "eleven trillion, two hundred billion, twenty-two million, one hundred", and thus it is an aban number.