201200211021200 has 120 divisors (see below), whose sum is σ = 490182357649320. Its totient is φ = 79354290585600.

The previous prime is 201200211021197. The next prime is 201200211021217. The reversal of 201200211021200 is 2120112002102.

It can be written as a sum of positive squares in 12 ways, for example, as 132873388893184 + 68326822128016 = 11527072^2 + 8266004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798590 + ... + 20075810.

It is an arithmetic number, because the mean of its divisors is an integer number (4084852980411).

Almost surely, 2^{201200211021200} is an apocalyptic number.

201200211021200 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 201200211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245091178824660).

201200211021200 is an abundant number, since it is smaller than the sum of its proper divisors (288982146628120).

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

201200211021200 is a wasteful number, since it uses less digits than its factorization.

201200211021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19277605 (or 19277594 counting only the distinct ones).

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

Adding to 201200211021200 its reverse (2120112002102), we get a palindrome (203320323023302).

The spelling of 201200211021200 in words is "two hundred one trillion, two hundred billion, two hundred eleven million, twenty-one thousand, two hundred".