221121100111200 has 144 divisors (see below), whose sum is σ = 751042623695616. Its totient is φ = 56401903782400.

The previous prime is 221121100111199. The next prime is 221121100111229. The reversal of 221121100111200 is 2111001121122.

It is a happy number.

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 221121100111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2002853316 + ... + 2002963715.

It is an arithmetic number, because the mean of its divisors is an integer number (5215573775664).

Almost surely, 2^{221121100111200} is an apocalyptic number.

221121100111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121100111200 is an abundant number, since it is smaller than the sum of its proper divisors (529921523584416).

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

221121100111200 is a wasteful number, since it uses less digits than its factorization.

221121100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005817077 (or 4005817064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221121100111200 its reverse (2111001121122), we get a palindrome (223232101232322).

The spelling of 221121100111200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred million, one hundred eleven thousand, two hundred".