201442100 has 72 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 77575680.

The previous prime is 201442099. The next prime is 201442103. The reversal of 201442100 is 1244102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201442103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339404 + ... + 339996.

It is an arithmetic number, because the mean of its divisors is an integer number (6301680).

Almost surely, 2^201442100 is an apocalyptic number.

201442100 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 201442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

201442100 is an abundant number, since it is smaller than the sum of its proper divisors (252278860).

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

201442100 is a wasteful number, since it uses less digits than its factorization.

201442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 201442100 is about 14193.0299795357. The cubic root of 201442100 is about 586.2057581372.

Adding to 201442100 its reverse (1244102), we get a palindrome (202686202).

The spelling of 201442100 in words is "two hundred one million, four hundred forty-two thousand, one hundred".