101224125 has 24 divisors (see below), whose sum is σ = 182475384. Its totient is φ = 53985600.

The previous prime is 101224099. The next prime is 101224147. The reversal of 101224125 is 521422101.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 100220121 = 1002^2 + 10011^2 .

It is not a de Polignac number, because 101224125 - 2⁸ = 101223869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101224098 and 101224107.

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 23 ways as a sum of consecutive naturals, for example, 43864 + ... + 46113.

It is an arithmetic number, because the mean of its divisors is an integer number (7603141).

Almost surely, 2^101224125 is an apocalyptic number.

101224125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101224125 is a deficient number, since it is larger than the sum of its proper divisors (81251259).

101224125 is an equidigital number, since it uses as much as digits as its factorization.

101224125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89998 (or 89985 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101224125 is about 10061.0200775071. The cubic root of 101224125 is about 466.0451689840.

Adding to 101224125 its reverse (521422101), we get a palindrome (622646226).

The spelling of 101224125 in words is "one hundred one million, two hundred twenty-four thousand, one hundred twenty-five".