10135125125024 has 24 divisors (see below), whose sum is σ = 19953620430660. Its totient is φ = 5067538983936.

The previous prime is 10135125125009. The next prime is 10135125125039. The reversal of 10135125125024 is 42052152153101.

It is an interprime number because it is at equal distance from previous prime (10135125125009) and next prime (10135125125039).

It can be written as a sum of positive squares in 2 ways, for example, as 10121738635024 + 13386490000 = 3181468^2 + 115700^2 .

It is a super-2 number, since 2×10135125125024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 7753112 + ... + 8965544.

Almost surely, 2^{10135125125024} is an apocalyptic number.

It is an amenable number.

10135125125024 is a deficient number, since it is larger than the sum of its proper divisors (9818495305636).

10135125125024 is a wasteful number, since it uses less digits than its factorization.

10135125125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473672 (or 1473664 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 10135125125024 its reverse (42052152153101), we get a palindrome (52187277278125).

The spelling of 10135125125024 in words is "ten trillion, one hundred thirty-five billion, one hundred twenty-five million, one hundred twenty-five thousand, twenty-four".