10125334125140 has 24 divisors (see below), whose sum is σ = 22898832560520. Its totient is φ = 3738584907648.

The previous prime is 10125334125119. The next prime is 10125334125157. The reversal of 10125334125140 is 4152143352101.

It can be written as a sum of positive squares in 4 ways, for example, as 306311330116 + 9819022795024 = 553454^2 + 3133532^2 .

It is a super-2 number, since 2×10125334125140² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10125334125097 and 10125334125106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19471796135 + ... + 19471796654.

It is an arithmetic number, because the mean of its divisors is an integer number (954118023355).

Almost surely, 2^{10125334125140} is an apocalyptic number.

10125334125140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125334125140 is an abundant number, since it is smaller than the sum of its proper divisors (12773498435380).

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

10125334125140 is a wasteful number, since it uses less digits than its factorization.

10125334125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38943592811 (or 38943592809 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 10125334125140 its reverse (4152143352101), we get a palindrome (14277477477241).

The spelling of 10125334125140 in words is "ten trillion, one hundred twenty-five billion, three hundred thirty-four million, one hundred twenty-five thousand, one hundred forty".