4142134122001 has 32 divisors (see below), whose sum is σ = 4464469833120. Its totient is φ = 3829316714496.

The previous prime is 4142134121911. The next prime is 4142134122017. The reversal of 4142134122001 is 1002214312414.

4142134122001 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 69103791376 + 4073030330625 = 262876^2 + 2018175^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142134122001 - 2²⁹ = 4141597251089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142134122041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97237015 + ... + 97279603.

It is an arithmetic number, because the mean of its divisors is an integer number (139514682285).

Almost surely, 2^{4142134122001} is an apocalyptic number.

It is an amenable number.

4142134122001 is a deficient number, since it is larger than the sum of its proper divisors (322335711119).

4142134122001 is a wasteful number, since it uses less digits than its factorization.

4142134122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43173.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4142134122001 its reverse (1002214312414), we get a palindrome (5144348434415).

The spelling of 4142134122001 in words is "four trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred twenty-two thousand, one".