221200122210200 has 192 divisors, whose sum is σ = 594721417268160. Its totient is φ = 74945819934720.

The previous prime is 221200122210181. The next prime is 221200122210211. The reversal of 221200122210200 is 2012221002122.

It is a happy number.

221200122210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 51238874 + ... + 55387926.

It is an arithmetic number, because the mean of its divisors is an integer number (3097507381605).

Almost surely, 2^{221200122210200} is an apocalyptic number.

221200122210200 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 221200122210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297360708634080).

221200122210200 is an abundant number, since it is smaller than the sum of its proper divisors (373521295057960).

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

221200122210200 is a wasteful number, since it uses less digits than its factorization.

221200122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149526 (or 4149517 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221200122210200 its reverse (2012221002122), we get a palindrome (223212343212322).

The spelling of 221200122210200 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-two million, two hundred ten thousand, two hundred".