1001101005 has 32 divisors (see below), whose sum is σ = 1784313600. Its totient is φ = 532547136.

The previous prime is 1001100983. The next prime is 1001101021. The reversal of 1001101005 is 5001011001.

It is not a de Polignac number, because 1001101005 - 2¹¹ = 1001098957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 44256 + ... + 62934.

It is an arithmetic number, because the mean of its divisors is an integer number (55759800).

Almost surely, 2^1001101005 is an apocalyptic number.

1001101005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001101005 is a deficient number, since it is larger than the sum of its proper divisors (783212595).

1001101005 is a wasteful number, since it uses less digits than its factorization.

1001101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090 (or 19084 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1001101005 is about 31640.1802302073. The cubic root of 1001101005 is about 1000.3668670588.

Adding to 1001101005 its reverse (5001011001), we get a palindrome (6002112006).

The spelling of 1001101005 in words is "one billion, one million, one hundred one thousand, five".