10442314212221 has 16 divisors (see below), whose sum is σ = 10668833278128. Its totient is φ = 10216901760000.

The previous prime is 10442314212173. The next prime is 10442314212233. The reversal of 10442314212221 is 12221241324401.

It can be written as a sum of positive squares in 8 ways, for example, as 24589689721 + 10417724522500 = 156811^2 + 3227650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10442314212221 is a prime.

It is a super-2 number, since 2×10442314212221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442314212521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78590975 + ... + 78723731.

It is an arithmetic number, because the mean of its divisors is an integer number (666802079883).

Almost surely, 2^{10442314212221} is an apocalyptic number.

It is an amenable number.

10442314212221 is a deficient number, since it is larger than the sum of its proper divisors (226519065907).

10442314212221 is a wasteful number, since it uses less digits than its factorization.

10442314212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136912.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10442314212221 its reverse (12221241324401), we get a palindrome (22663555536622).

The spelling of 10442314212221 in words is "ten trillion, four hundred forty-two billion, three hundred fourteen million, two hundred twelve thousand, two hundred twenty-one".