1001105110105 has 24 divisors (see below), whose sum is σ = 1272547426752. Its totient is φ = 754628874912.

The previous prime is 1001105110097. The next prime is 1001105110171. The reversal of 1001105110105 is 5010115011001.

It is not a de Polignac number, because 1001105110105 - 2³ = 1001105110097 is a prime.

It is a super-2 number, since 2×1001105110105² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 453387 + ... + 1485856.

It is an arithmetic number, because the mean of its divisors is an integer number (53022809448).

Almost surely, 2^{1001105110105} is an apocalyptic number.

It is an amenable number.

1001105110105 is a deficient number, since it is larger than the sum of its proper divisors (271442316647).

1001105110105 is an equidigital number, since it uses as much as digits as its factorization.

1001105110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939405 (or 1939338 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

The spelling of 1001105110105 in words is "one trillion, one billion, one hundred five million, one hundred ten thousand, one hundred five".