100222130221200 has 720 divisors, whose sum is σ = 380173108770000. Its totient is φ = 24301919600640.

The previous prime is 100222130221181. The next prime is 100222130221207. The reversal of 100222130221200 is 2122031222001.

100222130221200 is a `hidden beast` number, since 10 + 0 + 22 + 213 + 0 + 221 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 95866344170496 + 4355786050704 = 9791136^2 + 2087052^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100222130221207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1120394076 + ... + 1120483524.

It is an arithmetic number, because the mean of its divisors is an integer number (528018206625).

Almost surely, 2^{100222130221200} is an apocalyptic number.

100222130221200 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 100222130221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190086554385000).

100222130221200 is an abundant number, since it is smaller than the sum of its proper divisors (279950978548800).

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

100222130221200 is a wasteful number, since it uses less digits than its factorization.

100222130221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89844 (or 89830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100222130221200 its reverse (2122031222001), we get a palindrome (102344161443201).

The spelling of 100222130221200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred thirty million, two hundred twenty-one thousand, two hundred".