10100125 has 48 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 6451200.

The previous prime is 10100117. The next prime is 10100131. The reversal of 10100125 is 52100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2181529 + 7918596 = 1477^2 + 2814^2 .

It is not a de Polignac number, because 10100125 - 2³ = 10100117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104077 + ... + 104173.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^10100125 is an apocalyptic number.

It is an amenable number.

10100125 is a deficient number, since it is larger than the sum of its proper divisors (5585363).

10100125 is an equidigital number, since it uses as much as digits as its factorization.

10100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 10100125 is about 3178.0693825025. The cubic root of 10100125 is about 216.1601250368.

Adding to 10100125 its reverse (52100101), we get a palindrome (62200226).

The spelling of 10100125 in words is "ten million, one hundred thousand, one hundred twenty-five".