10204351201 has 24 divisors (see below), whose sum is σ = 11919678120. Its totient is φ = 8698990080.

The previous prime is 10204351169. The next prime is 10204351207. The reversal of 10204351201 is 10215340201.

10204351201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1077414976 + 9126936225 = 32824^2 + 95535^2 .

It is not a de Polignac number, because 10204351201 - 2⁵ = 10204351169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10204351207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560835 + ... + 578743.

It is an arithmetic number, because the mean of its divisors is an integer number (496653255).

Almost surely, 2^10204351201 is an apocalyptic number.

10204351201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10204351201 is a deficient number, since it is larger than the sum of its proper divisors (1715326919).

10204351201 is a wasteful number, since it uses less digits than its factorization.

10204351201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10204351201 its reverse (10215340201), we get a palindrome (20419691402).

The spelling of 10204351201 in words is "ten billion, two hundred four million, three hundred fifty-one thousand, two hundred one".