201211021020200 has 96 divisors (see below), whose sum is σ = 475511020893720. Its totient is φ = 79160615040000.

The previous prime is 201211021020161. The next prime is 201211021020209. The reversal of 201211021020200 is 2020120112102.

It can be written as a sum of positive squares in 12 ways, for example, as 1838936693476 + 199372084326724 = 1356074^2 + 14119918^2 .

It is not an unprimeable number, because it can be changed into a prime (201211021020209) 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, 224777510 + ... + 225670890.

Almost surely, 2^{201211021020200} is an apocalyptic number.

201211021020200 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 201211021020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237755510446860).

201211021020200 is an abundant number, since it is smaller than the sum of its proper divisors (274299999873520).

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

201211021020200 is a wasteful number, since it uses less digits than its factorization.

201211021020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911919 (or 911910 counting only the distinct ones).

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

Adding to 201211021020200 its reverse (2020120112102), we get a palindrome (203231141132302).

The spelling of 201211021020200 in words is "two hundred one trillion, two hundred eleven billion, twenty-one million, twenty thousand, two hundred".