10142134421020 has 192 divisors, whose sum is σ = 25274774891520. Its totient is φ = 3346512537600.

The previous prime is 10142134420991. The next prime is 10142134421039. The reversal of 10142134421020 is 2012443124101.

It is a super-2 number, since 2×10142134421020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141989115 + ... + 142060525.

It is an arithmetic number, because the mean of its divisors is an integer number (131639452560).

Almost surely, 2^{10142134421020} is an apocalyptic number.

10142134421020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142134421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637387445760).

10142134421020 is an abundant number, since it is smaller than the sum of its proper divisors (15132640470500).

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

10142134421020 is a wasteful number, since it uses less digits than its factorization.

10142134421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71804 (or 71802 counting only the distinct ones).

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

Adding to 10142134421020 its reverse (2012443124101), we get a palindrome (12154577545121).

The spelling of 10142134421020 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred twenty-one thousand, twenty".