201211211002200 has 192 divisors, whose sum is σ = 713357985024000. Its totient is φ = 45959172080640.

The previous prime is 201211211002157. The next prime is 201211211002201. The reversal of 201211211002200 is 2200112112102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201211211002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211211002201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10602285 + ... + 22689884.

It is an arithmetic number, because the mean of its divisors is an integer number (3715406172000).

Almost surely, 2^{201211211002200} is an apocalyptic number.

201211211002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211211002200 is an abundant number, since it is smaller than the sum of its proper divisors (512146774021800).

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

201211211002200 is a wasteful number, since it uses less digits than its factorization.

201211211002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33293634 (or 33293625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201211211002200 its reverse (2200112112102), we get a palindrome (203411323114302).

The spelling of 201211211002200 in words is "two hundred one trillion, two hundred eleven billion, two hundred eleven million, two thousand, two hundred".