1001061105055 has 16 divisors (see below), whose sum is σ = 1310738478624. Its totient is φ = 727900836480.

The previous prime is 1001061105049. The next prime is 1001061105073. The reversal of 1001061105055 is 5505011601001.

It is not a de Polignac number, because 1001061105055 - 2¹⁵ = 1001061072287 is a prime.

It is a Duffinian number.

It is a congruent 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, 1513272 + ... + 2071741.

It is an arithmetic number, because the mean of its divisors is an integer number (81921154914).

Almost surely, 2^{1001061105055} is an apocalyptic number.

1001061105055 is a deficient number, since it is larger than the sum of its proper divisors (309677373569).

1001061105055 is a wasteful number, since it uses less digits than its factorization.

1001061105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590106.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 1001061105055 its reverse (5505011601001), we get a palindrome (6506072706056).

The spelling of 1001061105055 in words is "one trillion, one billion, sixty-one million, one hundred five thousand, fifty-five".