10205085601 has 4 divisors (see below), whose sum is σ = 10805384772. Its totient is φ = 9604786432.

The previous prime is 10205085577. The next prime is 10205085629. The reversal of 10205085601 is 10658050201.

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 6435248400 + 3769837201 = 80220^2 + 61399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205085601 - 2¹⁵ = 10205052833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10205085601.

It is not an unprimeable number, because it can be changed into a prime (10205085661) 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, 300149560 + ... + 300149593.

It is an arithmetic number, because the mean of its divisors is an integer number (2701346193).

Almost surely, 2^10205085601 is an apocalyptic number.

It is an amenable number.

10205085601 is a deficient number, since it is larger than the sum of its proper divisors (600299171).

10205085601 is an equidigital number, since it uses as much as digits as its factorization.

10205085601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600299170.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 10205085601 in words is "ten billion, two hundred five million, eighty-five thousand, six hundred one".