10441021121 has 32 divisors (see below), whose sum is σ = 11378011680. Its totient is φ = 9545711616.

The previous prime is 10441021103. The next prime is 10441021127. The reversal of 10441021121 is 12112014401.

10441021121 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 16 ways, for example, as 964972096 + 9476049025 = 31064^2 + 97345^2 .

It is not a de Polignac number, because 10441021121 - 2¹⁴ = 10441004737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10441021121.

It is not an unprimeable number, because it can be changed into a prime (10441021127) 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 31 ways as a sum of consecutive naturals, for example, 25527965 + ... + 25528373.

It is an arithmetic number, because the mean of its divisors is an integer number (355562865).

Almost surely, 2^10441021121 is an apocalyptic number.

It is an amenable number.

10441021121 is a deficient number, since it is larger than the sum of its proper divisors (936990559).

10441021121 is a wasteful number, since it uses less digits than its factorization.

10441021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10441021121 its reverse (12112014401), we get a palindrome (22553035522).

The spelling of 10441021121 in words is "ten billion, four hundred forty-one million, twenty-one thousand, one hundred twenty-one".