201211221012200 has 192 divisors, whose sum is σ = 562806257856000. Its totient is φ = 65353504285440.

The previous prime is 201211221012107. The next prime is 201211221012223. The reversal of 201211221012200 is 2210122112102.

It is a super-2 number, since 2×201211221012200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850097471 + ... + 850334129.

It is an arithmetic number, because the mean of its divisors is an integer number (2931282593000).

Almost surely, 2^{201211221012200} is an apocalyptic number.

201211221012200 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 201211221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281403128928000).

201211221012200 is an abundant number, since it is smaller than the sum of its proper divisors (361595036843800).

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

201211221012200 is a wasteful number, since it uses less digits than its factorization.

201211221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268664 (or 268655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201211221012200 its reverse (2210122112102), we get a palindrome (203421343124302).

The spelling of 201211221012200 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-one million, twelve thousand, two hundred".