10032031121 has 6 divisors (see below), whose sum is σ = 11669913810. Its totient is φ = 8598883776.

The previous prime is 10032031067. The next prime is 10032031133. The reversal of 10032031121 is 12113023001.

10032031121 is digitally balanced in base 2, 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 only one way, i.e., 8641561600 + 1390469521 = 92960^2 + 37289^2 .

It is not a de Polignac number, because 10032031121 - 2¹⁰ = 10032030097 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 = 10032031096 and 10032031105.

It is not an unprimeable number, because it can be changed into a prime (10032031151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102367616 + ... + 102367713.

It is an arithmetic number, because the mean of its divisors is an integer number (1944985635).

Almost surely, 2^10032031121 is an apocalyptic number.

It is an amenable number.

10032031121 is a deficient number, since it is larger than the sum of its proper divisors (1637882689).

10032031121 is an equidigital number, since it uses as much as digits as its factorization.

10032031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204735343 (or 204735336 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10032031121 its reverse (12113023001), we get a palindrome (22145054122).

The spelling of 10032031121 in words is "ten billion, thirty-two million, thirty-one thousand, one hundred twenty-one".