11200221011100 has 144 divisors (see below), whose sum is σ = 35749184405760. Its totient is φ = 2684697100800.

The previous prime is 11200221011099. The next prime is 11200221011107. The reversal of 11200221011100 is 111012200211.

11200221011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200221011107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18773752 + ... + 19361151.

It is an arithmetic number, because the mean of its divisors is an integer number (248258225040).

Almost surely, 2^{11200221011100} is an apocalyptic number.

11200221011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200221011100 is an abundant number, since it is smaller than the sum of its proper divisors (24548963394660).

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

11200221011100 is a wasteful number, since it uses less digits than its factorization.

11200221011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38135020 (or 38135013 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200221011100 its reverse (111012200211), we get a palindrome (11311233211311).

The spelling of 11200221011100 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, eleven thousand, one hundred".