2112100201200 has 240 divisors, whose sum is σ = 7490994938496. Its totient is φ = 504381926400.

The previous prime is 2112100201193. The next prime is 2112100201223. The reversal of 2112100201200 is 21020012112.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309687 + ... + 2078486.

Almost surely, 2^{2112100201200} is an apocalyptic number.

2112100201200 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 2112100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745497469248).

2112100201200 is an abundant number, since it is smaller than the sum of its proper divisors (5378894737296).

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

2112100201200 is a wasteful number, since it uses less digits than its factorization.

2112100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388272 (or 2388261 counting only the distinct ones).

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

Adding to 2112100201200 its reverse (21020012112), we get a palindrome (2133120213312).

The spelling of 2112100201200 in words is "two trillion, one hundred twelve billion, one hundred million, two hundred one thousand, two hundred".