10100321225 has 24 divisors (see below), whose sum is σ = 12576700248. Its totient is φ = 8046604800.

The previous prime is 10100321201. The next prime is 10100321227. The reversal of 10100321225 is 52212300101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5908535689 + 4191785536 = 76867^2 + 64744^2 .

It is not a de Polignac number, because 10100321225 - 2⁸ = 10100320969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100321227) 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, 10778957 + ... + 10779893.

It is an arithmetic number, because the mean of its divisors is an integer number (524029177).

Almost surely, 2^10100321225 is an apocalyptic number.

It is an amenable number.

10100321225 is a deficient number, since it is larger than the sum of its proper divisors (2476379023).

10100321225 is an equidigital number, since it uses as much as digits as its factorization.

10100321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10100321225 its reverse (52212300101), we get a palindrome (62312621326).

The spelling of 10100321225 in words is "ten billion, one hundred million, three hundred twenty-one thousand, two hundred twenty-five".