201101222221200 has 480 divisors, whose sum is σ = 819232958949120. Its totient is φ = 45898085376000.

The previous prime is 201101222221199. The next prime is 201101222221219. The reversal of 201101222221200 is 2122222101102.

It is a happy number.

201101222221200 is a `hidden beast` number, since 20 + 1 + 1 + 0 + 1 + 222 + 221 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 49216600 + ... + 53145800.

It is an arithmetic number, because the mean of its divisors is an integer number (1706735331144).

Almost surely, 2^{201101222221200} is an apocalyptic number.

201101222221200 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 201101222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409616479474560).

201101222221200 is an abundant number, since it is smaller than the sum of its proper divisors (618131736727920).

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

201101222221200 is a wasteful number, since it uses less digits than its factorization.

201101222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929912 (or 3929895 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201101222221200 its reverse (2122222101102), we get a palindrome (203223444322302).

The spelling of 201101222221200 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".