125012500101 has 24 divisors (see below), whose sum is σ = 184005052920. Its totient is φ = 81758342016.

The previous prime is 125012500061. The next prime is 125012500157. The reversal of 125012500101 is 101005210521.

125012500101 is a `hidden beast` number, since 1 + 2 + 50 + 12 + 500 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5900544225 + 119111955876 = 76815^2 + 345126^2 .

It is not a de Polignac number, because 125012500101 - 2²¹ = 125010402949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125012500601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5268075 + ... + 5291751.

It is an arithmetic number, because the mean of its divisors is an integer number (7666877205).

Almost surely, 2^125012500101 is an apocalyptic number.

It is an amenable number.

125012500101 is a deficient number, since it is larger than the sum of its proper divisors (58992552819).

125012500101 is a wasteful number, since it uses less digits than its factorization.

125012500101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34805 (or 34802 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 125012500101 its reverse (101005210521), we get a palindrome (226017710622).

The spelling of 125012500101 in words is "one hundred twenty-five billion, twelve million, five hundred thousand, one hundred one".