100134543142125 has 48 divisors (see below), whose sum is σ = 181054548801984. Its totient is φ = 53243744796000.

The previous prime is 100134543142091. The next prime is 100134543142157. The reversal of 100134543142125 is 521241345431001.

100134543142125 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 4 + 5 + 431 + 4 + 212 + 5 = 666.

It is not a de Polignac number, because 100134543142125 - 2⁸ = 100134543141869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100134543142125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134081527 + ... + 134826276.

It is an arithmetic number, because the mean of its divisors is an integer number (3771969766708).

Almost surely, 2^{100134543142125} is an apocalyptic number.

100134543142125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100134543142125 is a deficient number, since it is larger than the sum of its proper divisors (80920005659859).

100134543142125 is a wasteful number, since it uses less digits than its factorization.

100134543142125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268908155 (or 268908142 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 100134543142125 its reverse (521241345431001), we get a palindrome (621375888573126).

The spelling of 100134543142125 in words is "one hundred trillion, one hundred thirty-four billion, five hundred forty-three million, one hundred forty-two thousand, one hundred twenty-five".