100002011112200 has 384 divisors, whose sum is σ = 247257988285440. Its totient is φ = 37553725440000.

The previous prime is 100002011112163. The next prime is 100002011112209. The reversal of 100002011112200 is 2211110200001.

It is not an unprimeable number, because it can be changed into a prime (100002011112209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27049500752 + ... + 27049504448.

It is an arithmetic number, because the mean of its divisors is an integer number (643901011160).

Almost surely, 2^{100002011112200} is an apocalyptic number.

100002011112200 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 100002011112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123628994142720).

100002011112200 is an abundant number, since it is smaller than the sum of its proper divisors (147255977173240).

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

100002011112200 is a wasteful number, since it uses less digits than its factorization.

100002011112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100002011112200 its reverse (2211110200001), we get a palindrome (102213121312201).

The spelling of 100002011112200 in words is "one hundred trillion, two billion, eleven million, one hundred twelve thousand, two hundred".