101101009 has 2 divisors, whose sum is σ = 101101010. Its totient is φ = 101101008.

The previous prime is 101100997. The next prime is 101101061. The reversal of 101101009 is 900101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100560784 + 540225 = 10028^2 + 735^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101009 - 2⁵ = 101100977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101009.

It is not a weakly prime, because it can be changed into another prime (101101069) 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, 50550504 + 50550505.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505).

Almost surely, 2^101101009 is an apocalyptic number.

It is an amenable number.

101101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101009 is an equidigital number, since it uses as much as digits as its factorization.

101101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101101009 is about 10054.8997508677. The cubic root of 101101009 is about 465.8561465383.

The spelling of 101101009 in words is "one hundred one million, one hundred one thousand, nine".