10142134421004 has 144 divisors (see below), whose sum is σ = 28438997723136. Its totient is φ = 3033247219200.

The previous prime is 10142134420991. The next prime is 10142134421039. The reversal of 10142134421004 is 40012443124101.

10142134421004 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 213 + 442 + 1 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×10142134421004² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2718312 + ... + 5260559.

It is an arithmetic number, because the mean of its divisors is an integer number (197493039744).

Almost surely, 2^{10142134421004} is an apocalyptic number.

It is an amenable number.

10142134421004 is an abundant number, since it is smaller than the sum of its proper divisors (18296863302132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142134421004 is a wasteful number, since it uses less digits than its factorization.

10142134421004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978996 (or 7978991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10142134421004 its reverse (40012443124101), we get a palindrome (50154577545105).

The spelling of 10142134421004 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred twenty-one thousand, four".