42242102220321 has 6 divisors (see below), whose sum is σ = 61016369873810. Its totient is φ = 28161401480208.

The previous prime is 42242102220301. The next prime is 42242102220379. The reversal of 42242102220321 is 12302220124224.

42242102220321 is a `hidden beast` number, since 4 + 224 + 210 + 2 + 2 + 203 + 21 = 666.

42242102220321 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 only one way, i.e., 34709053490721 + 7533048729600 = 5891439^2 + 2744640^2 .

It is not a de Polignac number, because 42242102220321 - 2⁹ = 42242102219809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42242102220301) 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 5 ways as a sum of consecutive naturals, for example, 2346783456676 + ... + 2346783456693.

Almost surely, 2^{42242102220321} is an apocalyptic number.

It is an amenable number.

42242102220321 is a deficient number, since it is larger than the sum of its proper divisors (18774267653489).

42242102220321 is a wasteful number, since it uses less digits than its factorization.

42242102220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693566913375 (or 4693566913372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42242102220321 its reverse (12302220124224), we get a palindrome (54544322344545).

The spelling of 42242102220321 in words is "forty-two trillion, two hundred forty-two billion, one hundred two million, two hundred twenty thousand, three hundred twenty-one".