201201121020200 has 192 divisors, whose sum is σ = 539862403023360. Its totient is φ = 68307405592320.

The previous prime is 201201121020161. The next prime is 201201121020217. The reversal of 201201121020200 is 2020121102102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 329704559 + ... + 330314241.

It is an arithmetic number, because the mean of its divisors is an integer number (2811783349080).

Almost surely, 2^{201201121020200} is an apocalyptic number.

201201121020200 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 201201121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269931201511680).

201201121020200 is an abundant number, since it is smaller than the sum of its proper divisors (338661282003160).

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

201201121020200 is a wasteful number, since it uses less digits than its factorization.

201201121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612016 (or 612007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201201121020200 its reverse (2020121102102), we get a palindrome (203221242122302).

The spelling of 201201121020200 in words is "two hundred one trillion, two hundred one billion, one hundred twenty-one million, twenty thousand, two hundred".