1010242125 has 96 divisors (see below), whose sum is σ = 1917027840. Its totient is φ = 530712000.

The previous prime is 1010242081. The next prime is 1010242127. The reversal of 1010242125 is 5212420101.

1010242125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010242125 - 2⁶ = 1010242061 is a prime.

It is a super-2 number, since 2×1010242125² = 2041178302249031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010242098 and 1010242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010242127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2399415 + ... + 2399835.

It is an arithmetic number, because the mean of its divisors is an integer number (19969040).

Almost surely, 2^1010242125 is an apocalyptic number.

1010242125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010242125 is a deficient number, since it is larger than the sum of its proper divisors (906785715).

1010242125 is an frugal number, since it uses more digits than its factorization.

1010242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

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

The square root of 1010242125 is about 31784.3062689749. The cubic root of 1010242125 is about 1003.4024518583.

Adding to 1010242125 its reverse (5212420101), we get a palindrome (6222662226).

The spelling of 1010242125 in words is "one billion, ten million, two hundred forty-two thousand, one hundred twenty-five".