10100542009 has 2 divisors, whose sum is σ = 10100542010. Its totient is φ = 10100542008.

The previous prime is 10100541967. The next prime is 10100542013. The reversal of 10100542009 is 90024500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5404455225 + 4696086784 = 73515^2 + 68528^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100542009 - 2⁷ = 10100541881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100542019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050271004 + 5050271005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050271005).

Almost surely, 2^10100542009 is an apocalyptic number.

It is an amenable number.

10100542009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100542009 is an equidigital number, since it uses as much as digits as its factorization.

10100542009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 10100542009 in words is "ten billion, one hundred million, five hundred forty-two thousand, nine".