201121002002200 has 384 divisors, whose sum is σ = 596177462200320. Its totient is φ = 61475116032000.

The previous prime is 201121002002153. The next prime is 201121002002209. The reversal of 201121002002200 is 2200200121102.

It is a happy number.

201121002002200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121002002209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54598650 + ... + 58165750.

It is an arithmetic number, because the mean of its divisors is an integer number (1552545474480).

Almost surely, 2^{201121002002200} is an apocalyptic number.

201121002002200 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 201121002002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298088731100160).

201121002002200 is an abundant number, since it is smaller than the sum of its proper divisors (395056460198120).

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

201121002002200 is a wasteful number, since it uses less digits than its factorization.

201121002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567267 (or 3567258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201121002002200 its reverse (2200200121102), we get a palindrome (203321202123302).

The spelling of 201121002002200 in words is "two hundred one trillion, one hundred twenty-one billion, two million, two thousand, two hundred".