201321010200 has 384 divisors, whose sum is σ = 675631756800. Its totient is φ = 49437696000.

The previous prime is 201321010159. The next prime is 201321010211. The reversal of 201321010200 is 2010123102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228513760 + ... + 228514640.

It is an arithmetic number, because the mean of its divisors is an integer number (1759457700).

Almost surely, 2^201321010200 is an apocalyptic number.

201321010200 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 201321010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337815878400).

201321010200 is an abundant number, since it is smaller than the sum of its proper divisors (474310746600).

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

201321010200 is a wasteful number, since it uses less digits than its factorization.

201321010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201321010200 its reverse (2010123102), we get a palindrome (203331133302).

The spelling of 201321010200 in words is "two hundred one billion, three hundred twenty-one million, ten thousand, two hundred".