1001102013105 has 32 divisors (see below), whose sum is σ = 1647280848000. Its totient is φ = 518787597312.

The previous prime is 1001102013089. The next prime is 1001102013173. The reversal of 1001102013105 is 5013102011001.

It is not a de Polignac number, because 1001102013105 - 2⁴ = 1001102013089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 810280 + ... + 1630569.

It is an arithmetic number, because the mean of its divisors is an integer number (51477526500).

Almost surely, 2^{1001102013105} is an apocalyptic number.

1001102013105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001102013105 is a deficient number, since it is larger than the sum of its proper divisors (646178834895).

1001102013105 is a wasteful number, since it uses less digits than its factorization.

1001102013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441633.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 1001102013105 its reverse (5013102011001), we get a palindrome (6014204024106).

The spelling of 1001102013105 in words is "one trillion, one billion, one hundred two million, thirteen thousand, one hundred five".