125424101 has 16 divisors (see below), whose sum is σ = 141998400. Its totient is φ = 109737600.

The previous prime is 125424053. The next prime is 125424121. The reversal of 125424101 is 101424521.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 125424101 - 2¹⁸ = 125161957 is a prime.

It is a super-4 number, since 4×125424101⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125424121) 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, 181166 + ... + 181856.

It is an arithmetic number, because the mean of its divisors is an integer number (8874900).

Almost surely, 2^125424101 is an apocalyptic number.

125424101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125424101 is a deficient number, since it is larger than the sum of its proper divisors (16574299).

125424101 is a wasteful number, since it uses less digits than its factorization.

125424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 125424101 is about 11199.2902007225. The cubic root of 125424101 is about 500.5648296946.

Adding to 125424101 its reverse (101424521), we get a palindrome (226848622).

The spelling of 125424101 in words is "one hundred twenty-five million, four hundred twenty-four thousand, one hundred one".