221022011102200 has 576 divisors, whose sum is σ = 665319882516480. Its totient is φ = 67506050304000.

The previous prime is 221022011102143. The next prime is 221022011102261. The reversal of 221022011102200 is 2201110220122.

It is a happy number.

It is a super-2 number, since 2×221022011102200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1379436492 + ... + 1379596708.

It is an arithmetic number, because the mean of its divisors is an integer number (1155069240480).

Almost surely, 2^{221022011102200} is an apocalyptic number.

221022011102200 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 221022011102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332659941258240).

221022011102200 is an abundant number, since it is smaller than the sum of its proper divisors (444297871414280).

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

221022011102200 is a wasteful number, since it uses less digits than its factorization.

221022011102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160516 (or 160500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221022011102200 its reverse (2201110220122), we get a palindrome (223223121322322).

The spelling of 221022011102200 in words is "two hundred twenty-one trillion, twenty-two billion, eleven million, one hundred two thousand, two hundred".