10042531010117 has 2 divisors, whose sum is σ = 10042531010118. Its totient is φ = 10042531010116.

The previous prime is 10042531010111. The next prime is 10042531010191. The reversal of 10042531010117 is 71101013524001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7444161103201 + 2598369906916 = 2728399^2 + 1611946^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042531010117 - 2³⁶ = 9973811533381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042531010111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021265505058 + 5021265505059.

It is an arithmetic number, because the mean of its divisors is an integer number (5021265505059).

Almost surely, 2^{10042531010117} is an apocalyptic number.

It is an amenable number.

10042531010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042531010117 is an equidigital number, since it uses as much as digits as its factorization.

10042531010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 10042531010117 its reverse (71101013524001), we get a palindrome (81143544534118).

The spelling of 10042531010117 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, one hundred seventeen".