10100001005 has 4 divisors (see below), whose sum is σ = 12120001212. Its totient is φ = 8080000800.

The previous prime is 10100001001. The next prime is 10100001059. The reversal of 10100001005 is 50010000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3937437001 + 6162564004 = 62749^2 + 78502^2 .

It is not a de Polignac number, because 10100001005 - 2² = 10100001001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000983 and 10100001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1010000096 + ... + 1010000105.

It is an arithmetic number, because the mean of its divisors is an integer number (3030000303).

Almost surely, 2^10100001005 is an apocalyptic number.

It is an amenable number.

10100001005 is a deficient number, since it is larger than the sum of its proper divisors (2020000207).

10100001005 is an equidigital number, since it uses as much as digits as its factorization.

10100001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020000206.

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10100001005 its reverse (50010000101), we get a palindrome (60110001106).

The spelling of 10100001005 in words is "ten billion, one hundred million, one thousand, five".