201121102001200 has 120 divisors (see below), whose sum is σ = 484161594388992. Its totient is φ = 80287302600960.

The previous prime is 201121102001191. The next prime is 201121102001201. The reversal of 201121102001200 is 2100201121102.

201121102001200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201121102001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296750057 + ... + 1296905143.

Almost surely, 2^{201121102001200} is an apocalyptic number.

201121102001200 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 201121102001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242080797194496).

201121102001200 is an abundant number, since it is smaller than the sum of its proper divisors (283040492387792).

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

201121102001200 is a wasteful number, since it uses less digits than its factorization.

201121102001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161579 (or 161568 counting only the distinct ones).

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

Adding to 201121102001200 its reverse (2100201121102), we get a palindrome (203221303122302).

The spelling of 201121102001200 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred two million, one thousand, two hundred".