10042042321 has 8 divisors (see below), whose sum is σ = 10109140200. Its totient is φ = 9974984448.

The previous prime is 10042042291. The next prime is 10042042331. The reversal of 10042042321 is 12324024001.

It can be written as a sum of positive squares in 4 ways, for example, as 717436225 + 9324606096 = 26785^2 + 96564^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042042321 - 2¹⁷ = 10041911249 is a prime.

It is a super-2 number, since 2×10042042321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042042331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627795 + ... + 643591.

It is an arithmetic number, because the mean of its divisors is an integer number (1263642525).

Almost surely, 2^10042042321 is an apocalyptic number.

It is an amenable number.

10042042321 is a deficient number, since it is larger than the sum of its proper divisors (67097879).

10042042321 is a wasteful number, since it uses less digits than its factorization.

10042042321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003.

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

Adding to 10042042321 its reverse (12324024001), we get a palindrome (22366066322).

The spelling of 10042042321 in words is "ten billion, forty-two million, forty-two thousand, three hundred twenty-one".