10001101005 has 24 divisors (see below), whose sum is σ = 19811705472. Its totient is φ = 4571931744.

The previous prime is 10001100997. The next prime is 10001101009. The reversal of 10001101005 is 50010110001.

It is not a de Polignac number, because 10001101005 - 2³ = 10001100997 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15874449 + ... + 15875078.

It is an arithmetic number, because the mean of its divisors is an integer number (825487728).

Almost surely, 2^10001101005 is an apocalyptic number.

10001101005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001101005 is a deficient number, since it is larger than the sum of its proper divisors (9810604467).

10001101005 is a wasteful number, since it uses less digits than its factorization.

10001101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31749545 (or 31749542 counting only the distinct ones).

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

Adding to 10001101005 its reverse (50010110001), we get a palindrome (60011211006).

The spelling of 10001101005 in words is "ten billion, one million, one hundred one thousand, five".