100200212000200 has 96 divisors (see below), whose sum is σ = 250938290874600. Its totient is φ = 36989277788160.

The previous prime is 100200212000183. The next prime is 100200212000209. The reversal of 100200212000200 is 2000212002001.

It can be written as a sum of positive squares in 12 ways, for example, as 34925996071684 + 65274215928516 = 5909822^2 + 8079246^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100200212000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8441506 + ... + 16482094.

Almost surely, 2^{100200212000200} is an apocalyptic number.

100200212000200 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 100200212000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125469145437300).

100200212000200 is an abundant number, since it is smaller than the sum of its proper divisors (150738078874400).

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

100200212000200 is a wasteful number, since it uses less digits than its factorization.

100200212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045411 (or 8045402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200212000200 its reverse (2000212002001), we get a palindrome (102200424002201).

The spelling of 100200212000200 in words is "one hundred trillion, two hundred billion, two hundred twelve million, two hundred", and thus it is an aban number.