10042410137 has 2 divisors, whose sum is σ = 10042410138. Its totient is φ = 10042410136.

The previous prime is 10042410013. The next prime is 10042410139. The reversal of 10042410137 is 73101424001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5534764816 + 4507645321 = 74396^2 + 67139^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042410137 - 2¹⁸ = 10042147993 is a prime.

Together with 10042410139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10042410139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021205068 + 5021205069.

It is an arithmetic number, because the mean of its divisors is an integer number (5021205069).

Almost surely, 2^10042410137 is an apocalyptic number.

It is an amenable number.

10042410137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042410137 is an equidigital number, since it uses as much as digits as its factorization.

10042410137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10042410137 its reverse (73101424001), we get a palindrome (83143834138).

The spelling of 10042410137 in words is "ten billion, forty-two million, four hundred ten thousand, one hundred thirty-seven".