101725126165003 has 16 divisors (see below), whose sum is σ = 114817824092160. Its totient is φ = 89274271917600.

The previous prime is 101725126164881. The next prime is 101725126165007. The reversal of 101725126165003 is 300561621527101.

It is a happy number.

It is not a de Polignac number, because 101725126165003 - 2³⁷ = 101587687211531 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101725126165007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23425125 + ... + 27426022.

It is an arithmetic number, because the mean of its divisors is an integer number (7176114005760).

Almost surely, 2^{101725126165003} is an apocalyptic number.

101725126165003 is a deficient number, since it is larger than the sum of its proper divisors (13092697927157).

101725126165003 is a wasteful number, since it uses less digits than its factorization.

101725126165003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50857458.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 101725126165003 in words is "one hundred one trillion, seven hundred twenty-five billion, one hundred twenty-six million, one hundred sixty-five thousand, three".