2110212011200 has 168 divisors, whose sum is σ = 5361727355264. Its totient is φ = 816583680000.

The previous prime is 2110212011177. The next prime is 2110212011203. The reversal of 2110212011200 is 21102120112.

It is not an unprimeable number, because it can be changed into a prime (2110212011203) 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, 213126250 + ... + 213136150.

Almost surely, 2^{2110212011200} is an apocalyptic number.

2110212011200 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 2110212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680863677632).

2110212011200 is an abundant number, since it is smaller than the sum of its proper divisors (3251515344064).

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

2110212011200 is a wasteful number, since it uses less digits than its factorization.

2110212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2110212011200 its reverse (21102120112), we get a palindrome (2131314131312).

2110212011200 divided by its reverse (21102120112) gives a square (100 = 10²).

The spelling of 2110212011200 in words is "two trillion, one hundred ten billion, two hundred twelve million, eleven thousand, two hundred".