11200222211100 has 144 divisors (see below), whose sum is σ = 35112848383872. Its totient is φ = 2740063645440.

The previous prime is 11200222211099. The next prime is 11200222211117. The reversal of 11200222211100 is 111222200211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200222211100.

It is a congruent number.

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, 8173662 + ... + 9445061.

It is an arithmetic number, because the mean of its divisors is an integer number (243839224888).

Almost surely, 2^{11200222211100} is an apocalyptic number.

11200222211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200222211100 is an abundant number, since it is smaller than the sum of its proper divisors (23912626172772).

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

11200222211100 is a wasteful number, since it uses less digits than its factorization.

11200222211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618916 (or 17618909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11200222211100 its reverse (111222200211), we get a palindrome (11311444411311).

The spelling of 11200222211100 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".