1001001101009 has 16 divisors (see below), whose sum is σ = 1232294394240. Its totient is φ = 791812488960.

The previous prime is 1001001101003. The next prime is 1001001101071. The reversal of 1001001101009 is 9001011001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001001101009 - 2⁸ = 1001001100753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001001100984 and 1001001101002.

It is not an unprimeable number, because it can be changed into a prime (1001001101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922904 + ... + 1689305.

It is an arithmetic number, because the mean of its divisors is an integer number (77018399640).

Almost surely, 2^{1001001101009} is an apocalyptic number.

It is an amenable number.

1001001101009 is a deficient number, since it is larger than the sum of its proper divisors (231293293231).

1001001101009 is a wasteful number, since it uses less digits than its factorization.

1001001101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616440.

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

The spelling of 1001001101009 in words is "one trillion, one billion, one million, one hundred one thousand, nine".