10125123103296 has 84 divisors (see below), whose sum is σ = 29022523996492. Its totient is φ = 3374961168384.

The previous prime is 10125123103279. The next prime is 10125123103301. The reversal of 10125123103296 is 69230132152101.

It is a happy number.

10125123103296 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 12 + 310 + 329 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5074927617600 + 5050195485696 = 2252760^2 + 2247264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10125123103296.

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 11 ways as a sum of consecutive naturals, for example, 27312396 + ... + 27680628.

Almost surely, 2^{10125123103296} is an apocalyptic number.

10125123103296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10125123103296 is an abundant number, since it is smaller than the sum of its proper divisors (18897400893196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10125123103296 is a wasteful number, since it uses less digits than its factorization.

10125123103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415988 (or 415975 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 10125123103296 its reverse (69230132152101), we get a palindrome (79355255255397).

The spelling of 10125123103296 in words is "ten trillion, one hundred twenty-five billion, one hundred twenty-three million, one hundred three thousand, two hundred ninety-six".