2212100101200 has 960 divisors, whose sum is σ = 8168278339584. Its totient is φ = 506956800000.

The previous prime is 2212100101181. The next prime is 2212100101217. The reversal of 2212100101200 is 21010012122.

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 191 ways as a sum of consecutive naturals, for example, 2694396790 + ... + 2694397610.

Almost surely, 2^{2212100101200} is an apocalyptic number.

2212100101200 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 2212100101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084139169792).

2212100101200 is an abundant number, since it is smaller than the sum of its proper divisors (5956178238384).

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

2212100101200 is a wasteful number, since it uses less digits than its factorization.

2212100101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

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

Adding to 2212100101200 its reverse (21010012122), we get a palindrome (2233110113322).

The spelling of 2212100101200 in words is "two trillion, two hundred twelve billion, one hundred million, one hundred one thousand, two hundred".