10211022241 has 24 divisors (see below), whose sum is σ = 12268255464. Its totient is φ = 8469377280.

The previous prime is 10211022221. The next prime is 10211022251. The reversal of 10211022241 is 14222011201.

10211022241 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 4 ways, for example, as 5252045841 + 4958976400 = 72471^2 + 70420^2 .

It is not a de Polignac number, because 10211022241 - 2¹⁹ = 10210497953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211022221) 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 23 ways as a sum of consecutive naturals, for example, 162651 + ... + 216511.

It is an arithmetic number, because the mean of its divisors is an integer number (511177311).

Almost surely, 2^10211022241 is an apocalyptic number.

It is an amenable number.

10211022241 is a deficient number, since it is larger than the sum of its proper divisors (2057233223).

10211022241 is an equidigital number, since it uses as much as digits as its factorization.

10211022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54001 (or 53994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211022241 its reverse (14222011201), we get a palindrome (24433033442).

The spelling of 10211022241 in words is "ten billion, two hundred eleven million, twenty-two thousand, two hundred forty-one".