2001112100200 has 96 divisors (see below), whose sum is σ = 4767354869760. Its totient is φ = 780710182400.

The previous prime is 2001112100171. The next prime is 2001112100201. The reversal of 2001112100200 is 20012111002.

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 (2001112100201) 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, 32137497 + ... + 32199703.

It is an arithmetic number, because the mean of its divisors is an integer number (49659946560).

Almost surely, 2^{2001112100200} is an apocalyptic number.

2001112100200 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 2001112100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383677434880).

2001112100200 is an abundant number, since it is smaller than the sum of its proper divisors (2766242769560).

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

2001112100200 is a wasteful number, since it uses less digits than its factorization.

2001112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66187 (or 66178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001112100200 its reverse (20012111002), we get a palindrome (2021124211202).

The spelling of 2001112100200 in words is "two trillion, one billion, one hundred twelve million, one hundred thousand, two hundred".