100005001000561 has 4 divisors (see below), whose sum is σ = 100734964511652. Its totient is φ = 99275037489472.

The previous prime is 100005001000519. The next prime is 100005001000573. The reversal of 100005001000561 is 165000100500001.

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 73801157377600 + 26203843622961 = 8590760^2 + 5118969^2 .

It is a cyclic number.

It is not a de Polignac number, because 100005001000561 - 2¹⁹ = 100005000476273 is a prime.

It is a super-2 number, since 2×100005001000561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100005001600561) 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, 364981755340 + ... + 364981755613.

It is an arithmetic number, because the mean of its divisors is an integer number (25183741127913).

Almost surely, 2^{100005001000561} is an apocalyptic number.

It is an amenable number.

100005001000561 is a deficient number, since it is larger than the sum of its proper divisors (729963511091).

100005001000561 is an equidigital number, since it uses as much as digits as its factorization.

100005001000561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729963511090.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100005001000561 its reverse (165000100500001), we get a palindrome (265005101500562).

The spelling of 100005001000561 in words is "one hundred trillion, five billion, one million, five hundred sixty-one", and thus it is an aban number.