100221122121200 has 240 divisors, whose sum is σ = 257086612368000. Its totient is φ = 37482124753920.

The previous prime is 100221122121193. The next prime is 100221122121203. The reversal of 100221122121200 is 2121221122001.

100221122121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221122121203) 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, 44761991 + ... + 46947609.

It is an arithmetic number, because the mean of its divisors is an integer number (1071194218200).

Almost surely, 2^{100221122121200} is an apocalyptic number.

100221122121200 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 100221122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128543306184000).

100221122121200 is an abundant number, since it is smaller than the sum of its proper divisors (156865490246800).

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

100221122121200 is a wasteful number, since it uses less digits than its factorization.

100221122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185792 (or 2185781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100221122121200 its reverse (2121221122001), we get a palindrome (102342343243201).

The spelling of 100221122121200 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".