201020111221200 has 240 divisors, whose sum is σ = 644535367185600. Its totient is φ = 53555359334400.

The previous prime is 201020111221183. The next prime is 201020111221217. The reversal of 201020111221200 is 2122111020102.

It is an interprime number because it is at equal distance from previous prime (201020111221183) and next prime (201020111221217).

It is a tau number, because it is divible by the number of its divisors (240).

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 201020111221200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6498969735 + ... + 6499000665.

It is an arithmetic number, because the mean of its divisors is an integer number (2685564029940).

Almost surely, 2^{201020111221200} is an apocalyptic number.

201020111221200 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 201020111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322267683592800).

201020111221200 is an abundant number, since it is smaller than the sum of its proper divisors (443515255964400).

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

201020111221200 is a wasteful number, since it uses less digits than its factorization.

201020111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35830 (or 35819 counting only the distinct ones).

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

Adding to 201020111221200 its reverse (2122111020102), we get a palindrome (203142222241302).

The spelling of 201020111221200 in words is "two hundred one trillion, twenty billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".