10442125221 has 32 divisors (see below), whose sum is σ = 15581704320. Its totient is φ = 6165196800.

The previous prime is 10442125201. The next prime is 10442125223. The reversal of 10442125221 is 12252124401.

It is not a de Polignac number, because 10442125221 - 2⁷ = 10442125093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10442125191 and 10442125200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442125223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 986485 + ... + 997013.

It is an arithmetic number, because the mean of its divisors is an integer number (486928260).

Almost surely, 2^10442125221 is an apocalyptic number.

10442125221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442125221 is a deficient number, since it is larger than the sum of its proper divisors (5139579099).

10442125221 is a wasteful number, since it uses less digits than its factorization.

10442125221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10442125221 its reverse (12252124401), we get a palindrome (22694249622).

The spelling of 10442125221 in words is "ten billion, four hundred forty-two million, one hundred twenty-five thousand, two hundred twenty-one".