212201011101200 has 240 divisors, whose sum is σ = 565686737928000. Its totient is φ = 75842627788800.

The previous prime is 212201011101187. The next prime is 212201011101217. The reversal of 212201011101200 is 2101110102212.

It is a super-2 number, since 2×212201011101200² (a number of 29 digits) contains 22 as substring.

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, 1518330524 + ... + 1518470276.

It is an arithmetic number, because the mean of its divisors is an integer number (2357028074700).

Almost surely, 2^{212201011101200} is an apocalyptic number.

212201011101200 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 212201011101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282843368964000).

212201011101200 is an abundant number, since it is smaller than the sum of its proper divisors (353485726826800).

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

212201011101200 is a wasteful number, since it uses less digits than its factorization.

212201011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145690 (or 145679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212201011101200 its reverse (2101110102212), we get a palindrome (214302121203412).

The spelling of 212201011101200 in words is "two hundred twelve trillion, two hundred one billion, eleven million, one hundred one thousand, two hundred".