1001101101009 has 8 divisors (see below), whose sum is σ = 1380829104960. Its totient is φ = 644386915536.

The previous prime is 1001101100983. The next prime is 1001101101023. The reversal of 1001101101009 is 9001011011001.

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

It is not a de Polignac number, because 1001101101009 - 2¹² = 1001101096913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001101101709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5753454517 + ... + 5753454690.

It is an arithmetic number, because the mean of its divisors is an integer number (172603638120).

Almost surely, 2^{1001101101009} is an apocalyptic number.

It is an amenable number.

1001101101009 is a deficient number, since it is larger than the sum of its proper divisors (379728003951).

1001101101009 is a wasteful number, since it uses less digits than its factorization.

1001101101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506909239.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1001101101009 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, nine".