1010001011009 has 8 divisors (see below), whose sum is σ = 1075594415400. Its totient is φ = 945094448896.

The previous prime is 1010001010987. The next prime is 1010001011027. The reversal of 1010001011009 is 9001101000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 376817961025 + 633183049984 = 613855^2 + 795728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010001011009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010001010984 and 1010001011002.

It is not an unprimeable number, because it can be changed into a prime (1010001011039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171707534 + ... + 171713415.

It is an arithmetic number, because the mean of its divisors is an integer number (134449301925).

Almost surely, 2^{1010001011009} is an apocalyptic number.

It is an amenable number.

1010001011009 is a deficient number, since it is larger than the sum of its proper divisors (65593404391).

1010001011009 is a wasteful number, since it uses less digits than its factorization.

1010001011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343421139.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1010001011009 in words is "one trillion, ten billion, one million, eleven thousand, nine".