10115431121 has 2 divisors, whose sum is σ = 10115431122. Its totient is φ = 10115431120.

The previous prime is 10115431093. The next prime is 10115431129. The reversal of 10115431121 is 12113451101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9671739025 + 443692096 = 98345^2 + 21064^2 .

It is a cyclic number.

It is not a de Polignac number, because 10115431121 - 2²⁶ = 10048322257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10115431093 and 10115431102.

It is not a weakly prime, because it can be changed into another prime (10115431129) 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 as a sum of consecutive naturals, namely, 5057715560 + 5057715561.

It is an arithmetic number, because the mean of its divisors is an integer number (5057715561).

Almost surely, 2^10115431121 is an apocalyptic number.

It is an amenable number.

10115431121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10115431121 is an equidigital number, since it uses as much as digits as its factorization.

10115431121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 10115431121 its reverse (12113451101), we get a palindrome (22228882222).

The spelling of 10115431121 in words is "ten billion, one hundred fifteen million, four hundred thirty-one thousand, one hundred twenty-one".