126101125 has 8 divisors (see below), whose sum is σ = 157374360. Its totient is φ = 100880800.

The previous prime is 126101093. The next prime is 126101137. The reversal of 126101125 is 521101621.

It can be written as a sum of positive squares in 4 ways, for example, as 6723649 + 119377476 = 2593^2 + 10926^2 .

It is not a de Polignac number, because 126101125 - 2⁵ = 126101093 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504280 + ... + 504529.

It is an arithmetic number, because the mean of its divisors is an integer number (19671795).

Almost surely, 2^126101125 is an apocalyptic number.

It is an amenable number.

126101125 is a deficient number, since it is larger than the sum of its proper divisors (31273235).

126101125 is an equidigital number, since it uses as much as digits as its factorization.

126101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008824 (or 1008814 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 126101125 is about 11229.4757224013. The cubic root of 126101125 is about 501.4638766145.

Adding to 126101125 its reverse (521101621), we get a palindrome (647202746).

The spelling of 126101125 in words is "one hundred twenty-six million, one hundred one thousand, one hundred twenty-five".