10142134421121 has 6 divisors (see below), whose sum is σ = 14649749719410. Its totient is φ = 6761422947408.

The previous prime is 10142134421093. The next prime is 10142134421207. The reversal of 10142134421121 is 12112443124101.

10142134421121 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 213 + 4 + 421 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5951106581121 + 4191027840000 = 2439489^2 + 2047200^2 .

It is not a de Polignac number, because 10142134421121 - 2⁹ = 10142134420609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142130421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563451912276 + ... + 563451912293.

It is an arithmetic number, because the mean of its divisors is an integer number (2441624953235).

Almost surely, 2^{10142134421121} is an apocalyptic number.

It is an amenable number.

10142134421121 is a deficient number, since it is larger than the sum of its proper divisors (4507615298289).

10142134421121 is a wasteful number, since it uses less digits than its factorization.

10142134421121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126903824575 (or 1126903824572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10142134421121 its reverse (12112443124101), we get a palindrome (22254577545222).

The spelling of 10142134421121 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred twenty-one thousand, one hundred twenty-one".