10312100324225 has 72 divisors (see below), whose sum is σ = 15036662701368. Its totient is φ = 6994565760000.

The previous prime is 10312100324203. The next prime is 10312100324249. The reversal of 10312100324225 is 52242300121301.

It can be written as a sum of positive squares in 12 ways, for example, as 861542245249 + 9450558078976 = 928193^2 + 3074176^2 .

It is not a de Polignac number, because 10312100324225 - 2⁸ = 10312100323969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312100324194 and 10312100324203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41625725 + ... + 41872725.

It is an arithmetic number, because the mean of its divisors is an integer number (208842537519).

Almost surely, 2^{10312100324225} is an apocalyptic number.

It is an amenable number.

10312100324225 is a deficient number, since it is larger than the sum of its proper divisors (4724562377143).

10312100324225 is a wasteful number, since it uses less digits than its factorization.

10312100324225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247395 (or 247383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10312100324225 its reverse (52242300121301), we get a palindrome (62554400445526).

The spelling of 10312100324225 in words is "ten trillion, three hundred twelve billion, one hundred million, three hundred twenty-four thousand, two hundred twenty-five".