42120432100 has 36 divisors (see below), whose sum is σ = 91865346804. Its totient is φ = 16762641280.

The previous prime is 42120432089. The next prime is 42120432139. The reversal of 42120432100 is 123402124.

42120432100 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 6 ways, for example, as 3541924 + 42116890176 = 1882^2 + 205224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049347 + ... + 1088746.

It is an arithmetic number, because the mean of its divisors is an integer number (2551815189).

Almost surely, 2^42120432100 is an apocalyptic number.

It is an amenable number.

42120432100 is an abundant number, since it is smaller than the sum of its proper divisors (49744914704).

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

42120432100 is a wasteful number, since it uses less digits than its factorization.

42120432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138304 (or 2138297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42120432100 its reverse (123402124), we get a palindrome (42243834224).

The spelling of 42120432100 in words is "forty-two billion, one hundred twenty million, four hundred thirty-two thousand, one hundred".