221102200200 has 576 divisors, whose sum is σ = 830136600000. Its totient is φ = 48480552960.

The previous prime is 221102200183. The next prime is 221102200259. The reversal of 221102200200 is 2002201122.

221102200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147499051 + ... + 147500549.

It is an arithmetic number, because the mean of its divisors is an integer number (1441209375).

Almost surely, 2^221102200200 is an apocalyptic number.

221102200200 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 221102200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415068300000).

221102200200 is an abundant number, since it is smaller than the sum of its proper divisors (609034399800).

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

221102200200 is a wasteful number, since it uses less digits than its factorization.

221102200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221102200200 its reverse (2002201122), we get a palindrome (223104401322).

The spelling of 221102200200 in words is "two hundred twenty-one billion, one hundred two million, two hundred thousand, two hundred".