101001009 has 16 divisors (see below), whose sum is σ = 138776000. Its totient is φ = 65292480.

The previous prime is 101001001. The next prime is 101001011. The reversal of 101001009 is 900100101.

It is not a de Polignac number, because 101001009 - 2³ = 101001001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000985 and 101001003.

It is not an unprimeable number, because it can be changed into a prime (101001001) 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 in 15 ways as a sum of consecutive naturals, for example, 35367 + ... + 38115.

It is an arithmetic number, because the mean of its divisors is an integer number (8673500).

Almost surely, 2^101001009 is an apocalyptic number.

It is an amenable number.

101001009 is a deficient number, since it is larger than the sum of its proper divisors (37774991).

101001009 is a wasteful number, since it uses less digits than its factorization.

101001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101001009 is about 10049.9258206218. The cubic root of 101001009 is about 465.7025015748.

The spelling of 101001009 in words is "one hundred one million, one thousand, nine".