201220100211200 has 240 divisors, whose sum is σ = 573253798307520. Its totient is φ = 68566493675520.

The previous prime is 201220100211199. The next prime is 201220100211259. The reversal of 201220100211200 is 2112001022102.

201220100211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7715966 + ... + 21493634.

It is an arithmetic number, because the mean of its divisors is an integer number (2388557492948).

Almost surely, 2^{201220100211200} is an apocalyptic number.

201220100211200 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 201220100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286626899153760).

201220100211200 is an abundant number, since it is smaller than the sum of its proper divisors (372033698096320).

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

201220100211200 is a wasteful number, since it uses less digits than its factorization.

201220100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777867 (or 13777846 counting only the distinct ones).

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

Adding to 201220100211200 its reverse (2112001022102), we get a palindrome (203332101233302).

The spelling of 201220100211200 in words is "two hundred one trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, two hundred".