221201200120200 has 192 divisors, whose sum is σ = 687977586616320. Its totient is φ = 58793132832000.

The previous prime is 221201200120193. The next prime is 221201200120217. The reversal of 221201200120200 is 2021002102122.

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 221201200120200.

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, 3322752915 + ... + 3322819485.

It is an arithmetic number, because the mean of its divisors is an integer number (3583216596960).

Almost surely, 2^{221201200120200} is an apocalyptic number.

221201200120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201200120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343988793308160).

221201200120200 is an abundant number, since it is smaller than the sum of its proper divisors (466776386496120).

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

221201200120200 is a wasteful number, since it uses less digits than its factorization.

221201200120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84708 (or 84699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221201200120200 its reverse (2021002102122), we get a palindrome (223222202222322).

The spelling of 221201200120200 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred million, one hundred twenty thousand, two hundred".