10242144021201 has 16 divisors (see below), whose sum is σ = 13989368227968. Its totient is φ = 6661510256000.

The previous prime is 10242144021149. The next prime is 10242144021203. The reversal of 10242144021201 is 10212044124201.

It is a happy number.

10242144021201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10242144021201 - 2¹⁷ = 10242143890129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242144021203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29804380 + ... + 30146066.

It is an arithmetic number, because the mean of its divisors is an integer number (874335514248).

Almost surely, 2^{10242144021201} is an apocalyptic number.

It is an amenable number.

10242144021201 is a deficient number, since it is larger than the sum of its proper divisors (3747224206767).

10242144021201 is a wasteful number, since it uses less digits than its factorization.

10242144021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585432.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10242144021201 its reverse (10212044124201), we get a palindrome (20454188145402).

The spelling of 10242144021201 in words is "ten trillion, two hundred forty-two billion, one hundred forty-four million, twenty-one thousand, two hundred one".