221122120100200 has 192 divisors, whose sum is σ = 561920704773120. Its totient is φ = 80254056960000.

The previous prime is 221122120100143. The next prime is 221122120100201. The reversal of 221122120100200 is 2001021221122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221122120100201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4985708025 + ... + 4985752375.

It is an arithmetic number, because the mean of its divisors is an integer number (2926670337360).

Almost surely, 2^{221122120100200} is an apocalyptic number.

221122120100200 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 221122120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280960352386560).

221122120100200 is an abundant number, since it is smaller than the sum of its proper divisors (340798584672920).

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

221122120100200 is a wasteful number, since it uses less digits than its factorization.

221122120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48668 (or 48659 counting only the distinct ones).

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

Adding to 221122120100200 its reverse (2001021221122), we get a palindrome (223123141321322).

The spelling of 221122120100200 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thousand, two hundred".