2012302100200 has 144 divisors (see below), whose sum is σ = 5443278840000. Its totient is φ = 689827824000.

The previous prime is 2012302100191. The next prime is 2012302100219. The reversal of 2012302100200 is 20012032102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93589051 + ... + 93610549.

It is an arithmetic number, because the mean of its divisors is an integer number (37800547500).

Almost surely, 2^{2012302100200} is an apocalyptic number.

2012302100200 is a gapful number since it is divisible by the number (20) 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 2012302100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721639420000).

2012302100200 is an abundant number, since it is smaller than the sum of its proper divisors (3430976739800).

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

2012302100200 is a wasteful number, since it uses less digits than its factorization.

2012302100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31080 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2012302100200 its reverse (20012032102), we get a palindrome (2032314132302).

The spelling of 2012302100200 in words is "two trillion, twelve billion, three hundred two million, one hundred thousand, two hundred".