100221222201100 has 576 divisors, whose sum is σ = 301873500859392. Its totient is φ = 27873828864000.

The previous prime is 100221222201077. The next prime is 100221222201187. The reversal of 100221222201100 is 1102222122001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417397080 + ... + 417637120.

It is an arithmetic number, because the mean of its divisors is an integer number (524085938992).

Almost surely, 2^{100221222201100} is an apocalyptic number.

100221222201100 is a gapful number since it is divisible by the number (10) 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 100221222201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150936750429696).

100221222201100 is an abundant number, since it is smaller than the sum of its proper divisors (201652278658292).

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

100221222201100 is a wasteful number, since it uses less digits than its factorization.

100221222201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240226 (or 240219 counting only the distinct ones).

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

Adding to 100221222201100 its reverse (1102222122001), we get a palindrome (101323444323101).

The spelling of 100221222201100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, one hundred".