201420124110 has 96 divisors (see below), whose sum is σ = 527072832000. Its totient is φ = 53365841088.

The previous prime is 201420124027. The next prime is 201420124111. The reversal of 201420124110 is 11421024102.

201420124110 is a `hidden beast` number, since 2 + 0 + 1 + 420 + 1 + 241 + 1 + 0 = 666.

201420124110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201420124111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21244351 + ... + 21253829.

It is an arithmetic number, because the mean of its divisors is an integer number (5490342000).

Almost surely, 2^201420124110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201420124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263536416000).

201420124110 is an abundant number, since it is smaller than the sum of its proper divisors (325652707890).

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

201420124110 is a wasteful number, since it uses less digits than its factorization.

201420124110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10987 counting only the distinct ones).

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

Adding to 201420124110 its reverse (11421024102), we get a palindrome (212841148212).

The spelling of 201420124110 in words is "two hundred one billion, four hundred twenty million, one hundred twenty-four thousand, one hundred ten".