221102102200 has 144 divisors (see below), whose sum is σ = 612577198800. Its totient is φ = 73957363200.

The previous prime is 221102102189. The next prime is 221102102239. The reversal of 221102102200 is 2201201122.

It is a happy number.

It is a super-2 number, since 2×221102102200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126661 + ... + 676939.

It is an arithmetic number, because the mean of its divisors is an integer number (4254008325).

Almost surely, 2^221102102200 is an apocalyptic number.

221102102200 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 221102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306288599400).

221102102200 is an abundant number, since it is smaller than the sum of its proper divisors (391475096600).

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

221102102200 is a wasteful number, since it uses less digits than its factorization.

221102102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550350 (or 550334 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221102102200 its reverse (2201201122), we get a palindrome (223303303322).

The spelling of 221102102200 in words is "two hundred twenty-one billion, one hundred two million, one hundred two thousand, two hundred".