1001101010109 has 64 divisors (see below), whose sum is σ = 1404675095040. Its totient is φ = 633543966720.

The previous prime is 1001101010069. The next prime is 1001101010111. The reversal of 1001101010109 is 9010101011001.

It is not a de Polignac number, because 1001101010109 - 2⁷ = 1001101009981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101010179) 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 63 ways as a sum of consecutive naturals, for example, 1050472777 + ... + 1050473729.

It is an arithmetic number, because the mean of its divisors is an integer number (21948048360).

Almost surely, 2^{1001101010109} is an apocalyptic number.

It is an amenable number.

1001101010109 is a deficient number, since it is larger than the sum of its proper divisors (403574084931).

1001101010109 is a wasteful number, since it uses less digits than its factorization.

1001101010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150.

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

The spelling of 1001101010109 in words is "one trillion, one billion, one hundred one million, ten thousand, one hundred nine".