10209121 has 12 divisors (see below), whose sum is σ = 11147628. Its totient is φ = 9345024.

The previous prime is 10209119. The next prime is 10209127. The reversal of 10209121 is 12190201.

10209121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6051600 + 4157521 = 2460^2 + 2039^2 .

It is not a de Polignac number, because 10209121 - 2¹ = 10209119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10209095 and 10209104.

It is not an unprimeable number, because it can be changed into a prime (10209127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32461 + ... + 32773.

It is an arithmetic number, because the mean of its divisors is an integer number (928969).

Almost surely, 2^10209121 is an apocalyptic number.

It is an amenable number.

10209121 is a deficient number, since it is larger than the sum of its proper divisors (938507).

10209121 is a wasteful number, since it uses less digits than its factorization.

10209121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10209121 is about 3195.1715133933. The cubic root of 10209121 is about 216.9349122043.

Adding to 10209121 its reverse (12190201), we get a palindrome (22399322).

The spelling of 10209121 in words is "ten million, two hundred nine thousand, one hundred twenty-one".