221102002102200 has 192 divisors, whose sum is σ = 694091615293440. Its totient is φ = 58215117050880.

The previous prime is 221102002102187. The next prime is 221102002102249. The reversal of 221102002102200 is 2201200201122.

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 221102002102200.

It is a congruent number.

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, 81482524 + ... + 84152276.

It is an arithmetic number, because the mean of its divisors is an integer number (3615060496320).

Almost surely, 2^{221102002102200} is an apocalyptic number.

221102002102200 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 221102002102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347045807646720).

221102002102200 is an abundant number, since it is smaller than the sum of its proper divisors (472989613191240).

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

221102002102200 is a wasteful number, since it uses less digits than its factorization.

221102002102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671518 (or 2671509 counting only the distinct ones).

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

Adding to 221102002102200 its reverse (2201200201122), we get a palindrome (223303202303322).

The spelling of 221102002102200 in words is "two hundred twenty-one trillion, one hundred two billion, two million, one hundred two thousand, two hundred".