101125025 has 12 divisors (see below), whose sum is σ = 126037692. Its totient is φ = 80485440.

The previous prime is 101125019. The next prime is 101125039. The reversal of 101125025 is 520521101.

It can be written as a sum of positive squares in 6 ways, for example, as 7441984 + 93683041 = 2728^2 + 9679^2 .

It is not a de Polignac number, because 101125025 - 2⁴ = 101125009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101124994 and 101125012.

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 11 ways as a sum of consecutive naturals, for example, 5342 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (10503141).

Almost surely, 2^101125025 is an apocalyptic number.

It is an amenable number.

101125025 is a deficient number, since it is larger than the sum of its proper divisors (24912667).

101125025 is a wasteful number, since it uses less digits than its factorization.

101125025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740 (or 20735 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 101125025 is about 10056.0939235868. The cubic root of 101125025 is about 465.8930308238.

Adding to 101125025 its reverse (520521101), we get a palindrome (621646126).

The spelling of 101125025 in words is "one hundred one million, one hundred twenty-five thousand, twenty-five".