2112001102200 has 192 divisors, whose sum is σ = 7277167267200. Its totient is φ = 502339801600.

The previous prime is 2112001102199. The next prime is 2112001102213. The reversal of 2112001102200 is 22011002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2669070 + ... + 3368669.

It is an arithmetic number, because the mean of its divisors is an integer number (37901912850).

Almost surely, 2^{2112001102200} is an apocalyptic number.

2112001102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112001102200 is an abundant number, since it is smaller than the sum of its proper divisors (5165166165000).

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

2112001102200 is a wasteful number, since it uses less digits than its factorization.

2112001102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037822 (or 6037813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112001102200 its reverse (22011002112), we get a palindrome (2134012104312).

The spelling of 2112001102200 in words is "two trillion, one hundred twelve billion, one million, one hundred two thousand, two hundred".