2002112112200 has 96 divisors (see below), whose sum is σ = 4709375544960. Its totient is φ = 791502816000.

The previous prime is 2002112112197. The next prime is 2002112112211. The reversal of 2002112112200 is 22112112002.

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 23 ways as a sum of consecutive naturals, for example, 11284577 + ... + 11460623.

It is an arithmetic number, because the mean of its divisors is an integer number (49055995260).

Almost surely, 2^{2002112112200} is an apocalyptic number.

2002112112200 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 2002112112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354687772480).

2002112112200 is an abundant number, since it is smaller than the sum of its proper divisors (2707263432760).

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

2002112112200 is a wasteful number, since it uses less digits than its factorization.

2002112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176727 (or 176718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002112112200 its reverse (22112112002), we get a palindrome (2024224224202).

The spelling of 2002112112200 in words is "two trillion, two billion, one hundred twelve million, one hundred twelve thousand, two hundred".