221011022201200 has 120 divisors (see below), whose sum is σ = 661999768410240. Its totient is φ = 68886552364800.

The previous prime is 221011022201191. The next prime is 221011022201219. The reversal of 221011022201200 is 2102220110122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3587810470 + ... + 3587872069.

It is an arithmetic number, because the mean of its divisors is an integer number (5516664736752).

Almost surely, 2^{221011022201200} is an apocalyptic number.

221011022201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011022201200 is an abundant number, since it is smaller than the sum of its proper divisors (440988746209040).

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

221011022201200 is a wasteful number, since it uses less digits than its factorization.

221011022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175682575 (or 7175682564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221011022201200 its reverse (2102220110122), we get a palindrome (223113242311322).

The spelling of 221011022201200 in words is "two hundred twenty-one trillion, eleven billion, twenty-two million, two hundred one thousand, two hundred".