101125009 has 2 divisors, whose sum is σ = 101125010. Its totient is φ = 101125008.

The previous prime is 101124941. The next prime is 101125019. The reversal of 101125009 is 900521101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96963409 + 4161600 = 9847^2 + 2040^2 .

It is a cyclic number.

It is not a de Polignac number, because 101125009 - 2⁹ = 101124497 is a prime.

It is not a weakly prime, because it can be changed into another prime (101125019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50562504 + 50562505.

It is an arithmetic number, because the mean of its divisors is an integer number (50562505).

Almost surely, 2^101125009 is an apocalyptic number.

It is an amenable number.

101125009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101125009 is an equidigital number, since it uses as much as digits as its factorization.

101125009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 101125009 is about 10056.0931280493. The cubic root of 101125009 is about 465.8930062526.

The spelling of 101125009 in words is "one hundred one million, one hundred twenty-five thousand, nine".