11101200221200 has 60 divisors (see below), whose sum is σ = 26774410563540. Its totient is φ = 4423201914880.

The previous prime is 11101200221147. The next prime is 11101200221231. The reversal of 11101200221200 is 212200210111.

It can be written as a sum of positive squares in 6 ways, for example, as 1948905345024 + 9152294876176 = 1396032^2 + 3025276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53891365 + ... + 54096964.

It is an arithmetic number, because the mean of its divisors is an integer number (446240176059).

Almost surely, 2^{11101200221200} is an apocalyptic number.

11101200221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101200221200 is an abundant number, since it is smaller than the sum of its proper divisors (15673210342340).

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

11101200221200 is a wasteful number, since it uses less digits than its factorization.

11101200221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107988604 (or 107988593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11101200221200 its reverse (212200210111), we get a palindrome (11313400431311).

The spelling of 11101200221200 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred".