10122210241 has 16 divisors (see below), whose sum is σ = 12275440128. Its totient is φ = 8220153600.

The previous prime is 10122210229. The next prime is 10122210269. The reversal of 10122210241 is 14201222101.

10122210241 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122210241 - 2⁵ = 10122210209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122210221) 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 15 ways as a sum of consecutive naturals, for example, 1137256 + ... + 1146121.

It is an arithmetic number, because the mean of its divisors is an integer number (767215008).

Almost surely, 2^10122210241 is an apocalyptic number.

10122210241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122210241 is a deficient number, since it is larger than the sum of its proper divisors (2153229887).

10122210241 is a wasteful number, since it uses less digits than its factorization.

10122210241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283432.

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

Adding to 10122210241 its reverse (14201222101), we get a palindrome (24323432342).

The spelling of 10122210241 in words is "ten billion, one hundred twenty-two million, two hundred ten thousand, two hundred forty-one".