201444100 has 72 divisors (see below), whose sum is σ = 513592128. Its totient is φ = 67612800.

The previous prime is 201444091. The next prime is 201444127. The reversal of 201444100 is 1444102.

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, 7257 + ... + 21343.

It is an arithmetic number, because the mean of its divisors is an integer number (7133224).

Almost surely, 2^201444100 is an apocalyptic number.

201444100 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 201444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256796064).

201444100 is an abundant number, since it is smaller than the sum of its proper divisors (312148028).

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

201444100 is a wasteful number, since it uses less digits than its factorization.

201444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14125 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 201444100 is about 14193.1004364797. The cubic root of 201444100 is about 586.2076981614.

Adding to 201444100 its reverse (1444102), we get a palindrome (202888202).

The spelling of 201444100 in words is "two hundred one million, four hundred forty-four thousand, one hundred".