1001101110109 has 6 divisors (see below), whose sum is σ = 1056563775870. Its totient is φ = 948411577656.

The previous prime is 1001101110091. The next prime is 1001101110131. The reversal of 1001101110109 is 9010111011001.

It can be written as a sum of positive squares in only one way, i.e., 503198703225 + 497902406884 = 709365^2 + 705622^2 .

It is not a de Polignac number, because 1001101110109 - 2⁵ = 1001101110077 is a prime.

It is a super-2 number, since 2×1001101110109² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101110092 and 1001101110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101110409) 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, 1386566274 + ... + 1386566995.

It is an arithmetic number, because the mean of its divisors is an integer number (176093962645).

Almost surely, 2^{1001101110109} is an apocalyptic number.

1001101110109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1001101110109 is a deficient number, since it is larger than the sum of its proper divisors (55462665761).

1001101110109 is an equidigital number, since it uses as much as digits as its factorization.

1001101110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773133307 (or 2773133288 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 1001101110109 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, one hundred nine".