201201102200 has 192 divisors, whose sum is σ = 547673280000. Its totient is φ = 67302627840.

The previous prime is 201201102197. The next prime is 201201102217. The reversal of 201201102200 is 2201102102.

It is a happy number.

201201102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84218606 + ... + 84220994.

It is an arithmetic number, because the mean of its divisors is an integer number (2852465000).

Almost surely, 2^201201102200 is an apocalyptic number.

201201102200 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 201201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273836640000).

201201102200 is an abundant number, since it is smaller than the sum of its proper divisors (346472177800).

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

201201102200 is a wasteful number, since it uses less digits than its factorization.

201201102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201201102200 its reverse (2201102102), we get a palindrome (203402204302).

The spelling of 201201102200 in words is "two hundred one billion, two hundred one million, one hundred two thousand, two hundred".