125152535302101 has 20 divisors (see below), whose sum is σ = 186956622134700. Its totient is φ = 83434860331776.

The previous prime is 125152535302037. The next prime is 125152535302183. The reversal of 125152535302101 is 101203535251521.

125152535302101 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 52 + 53 + 530 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75312804107025 + 49839731195076 = 8678295^2 + 7059726^2 .

It is not a de Polignac number, because 125152535302101 - 2⁶ = 125152535302037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125152535302001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51611295 + ... + 53981763.

It is an arithmetic number, because the mean of its divisors is an integer number (9347831106735).

Almost surely, 2^{125152535302101} is an apocalyptic number.

It is an amenable number.

125152535302101 is a deficient number, since it is larger than the sum of its proper divisors (61804086832599).

125152535302101 is an equidigital number, since it uses as much as digits as its factorization.

125152535302101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022290 (or 3022281 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 125152535302101 in words is "one hundred twenty-five trillion, one hundred fifty-two billion, five hundred thirty-five million, three hundred two thousand, one hundred one".