100224355101200 has 240 divisors, whose sum is σ = 266142116290560. Its totient is φ = 35965200960000.

The previous prime is 100224355101137. The next prime is 100224355101209. The reversal of 100224355101200 is 2101553422001.

100224355101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100224355101200.

It is not an unprimeable number, because it can be changed into a prime (100224355101209) 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, 678093707 + ... + 678241493.

It is an arithmetic number, because the mean of its divisors is an integer number (1108925484544).

Almost surely, 2^{100224355101200} is an apocalyptic number.

100224355101200 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 100224355101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133071058145280).

100224355101200 is an abundant number, since it is smaller than the sum of its proper divisors (165917761189360).

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

100224355101200 is a wasteful number, since it uses less digits than its factorization.

100224355101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149846 (or 149835 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 100224355101200 in words is "one hundred trillion, two hundred twenty-four billion, three hundred fifty-five million, one hundred one thousand, two hundred".