42002142100 has 18 divisors (see below), whose sum is σ = 91144648574. Its totient is φ = 16800856800.

The previous prime is 42002142089. The next prime is 42002142103. The reversal of 42002142100 is 124120024.

42002142100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12860920836 + 29141221264 = 113406^2 + 170708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002142103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210010611 + ... + 210010810.

Almost surely, 2^42002142100 is an apocalyptic number.

It is an amenable number.

42002142100 is an abundant number, since it is smaller than the sum of its proper divisors (49142506474).

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

42002142100 is a wasteful number, since it uses less digits than its factorization.

42002142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420021435 (or 420021428 counting only the distinct ones).

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

Adding to 42002142100 its reverse (124120024), we get a palindrome (42126262124).

The spelling of 42002142100 in words is "forty-two billion, two million, one hundred forty-two thousand, one hundred".