42120210114 has 56 divisors (see below), whose sum is σ = 95596556220. Its totient is φ = 13911209568.

The previous prime is 42120210091. The next prime is 42120210149. The reversal of 42120210114 is 41101202124.

42120210114 is a `hidden beast` number, since 421 + 20 + 210 + 1 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34556951025 + 7563259089 = 185895^2 + 86967^2 .

It is a super-2 number, since 2×42120210114² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 26404 + ... + 291440.

Almost surely, 2^42120210114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47798278110).

42120210114 is an abundant number, since it is smaller than the sum of its proper divisors (53476346106).

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

42120210114 is a wasteful number, since it uses less digits than its factorization.

42120210114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265166 (or 265151 counting only the distinct ones).

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

Adding to 42120210114 its reverse (41101202124), we get a palindrome (83221412238).

The spelling of 42120210114 in words is "forty-two billion, one hundred twenty million, two hundred ten thousand, one hundred fourteen".