210414121242 has 128 divisors (see below), whose sum is σ = 483408414720. Its totient is φ = 60563247360.

The previous prime is 210414121193. The next prime is 210414121243. The reversal of 210414121242 is 242121414012.

It is a happy number.

210414121242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210414121243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20846617 + ... + 20856707.

It is an arithmetic number, because the mean of its divisors is an integer number (3776628240).

Almost surely, 2^210414121242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210414121242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241704207360).

210414121242 is an abundant number, since it is smaller than the sum of its proper divisors (272994293478).

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

210414121242 is a wasteful number, since it uses less digits than its factorization.

210414121242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 210414121242 its reverse (242121414012), we get a palindrome (452535535254).

The spelling of 210414121242 in words is "two hundred ten billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred forty-two".