1001006101109 has 6 divisors (see below), whose sum is σ = 1164435668694. Its totient is φ = 858005229480.

The previous prime is 1001006101087. The next prime is 1001006101111. The reversal of 1001006101109 is 9011016001001.

1001006101109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 983449056100 + 17557045009 = 991690^2 + 132503^2 .

It is not a de Polignac number, because 1001006101109 - 2¹⁶ = 1001006035573 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001006101159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10214347922 + ... + 10214348019.

It is an arithmetic number, because the mean of its divisors is an integer number (194072611449).

Almost surely, 2^{1001006101109} is an apocalyptic number.

It is an amenable number.

1001006101109 is a deficient number, since it is larger than the sum of its proper divisors (163429567585).

1001006101109 is an equidigital number, since it uses as much as digits as its factorization.

1001006101109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428695955 (or 20428695948 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 1001006101109 in words is "one trillion, one billion, six million, one hundred one thousand, one hundred nine".