201321400 has 72 divisors (see below), whose sum is σ = 544518720. Its totient is φ = 69021120.

The previous prime is 201321391. The next prime is 201321427. The reversal of 201321400 is 4123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 472 + ... + 20071.

It is an arithmetic number, because the mean of its divisors is an integer number (7562760).

Almost surely, 2^201321400 is an apocalyptic number.

201321400 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 201321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272259360).

201321400 is an abundant number, since it is smaller than the sum of its proper divisors (343197320).

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

201321400 is a wasteful number, since it uses less digits than its factorization.

201321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20573 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 201321400 is about 14188.7772552817. Note that the first 3 decimals coincide. The cubic root of 201321400 is about 586.0886538984.

Adding to 201321400 its reverse (4123102), we get a palindrome (205444502).

The spelling of 201321400 in words is "two hundred one million, three hundred twenty-one thousand, four hundred".