1001111101105 has 16 divisors (see below), whose sum is σ = 1215995981184. Its totient is φ = 791156185600.

The previous prime is 1001111101087. The next prime is 1001111101121. The reversal of 1001111101105 is 5011011111001.

It is not a de Polignac number, because 1001111101105 - 2³⁷ = 863672147633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2461621 + ... + 2839330.

It is an arithmetic number, because the mean of its divisors is an integer number (75999748824).

Almost surely, 2^{1001111101105} is an apocalyptic number.

It is an amenable number.

1001111101105 is a deficient number, since it is larger than the sum of its proper divisors (214884880079).

1001111101105 is a wasteful number, since it uses less digits than its factorization.

1001111101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301416.

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 1001111101105 its reverse (5011011111001), we get a palindrome (6012122212106).

It can be divided in two parts, 100111 and 1101105, that added together give a square (1201216 = 1096²).

The spelling of 1001111101105 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred five".