10142134001000 has 32 divisors (see below), whose sum is σ = 23732593564680. Its totient is φ = 4056853600000.

The previous prime is 10142134000961. The next prime is 10142134001059. The reversal of 10142134001000 is 10043124101.

It is a happy number.

10142134001000 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 4 ways, for example, as 6613980358756 + 3528153642244 = 2571766^2 + 1878338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10142134001000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5071066001 + ... + 5071068000.

Almost surely, 2^{10142134001000} is an apocalyptic number.

10142134001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142134001000 is an abundant number, since it is smaller than the sum of its proper divisors (13590459563680).

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

10142134001000 is a wasteful number, since it uses less digits than its factorization.

10142134001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142134022 (or 10142134008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10142134001000 its reverse (10043124101), we get a palindrome (10152177125101).

The spelling of 10142134001000 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, one thousand".