10114141424130 has 144 divisors (see below), whose sum is σ = 27496165132800. Its totient is φ = 2579243126592.

The previous prime is 10114141424119. The next prime is 10114141424143. The reversal of 10114141424130 is 3142414141101.

10114141424130 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 1 + 414 + 241 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10114141424094 and 10114141424103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228458257 + ... + 228502523.

It is an arithmetic number, because the mean of its divisors is an integer number (190945591200).

Almost surely, 2^{10114141424130} is an apocalyptic number.

10114141424130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114141424130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748082566400).

10114141424130 is an abundant number, since it is smaller than the sum of its proper divisors (17382023708670).

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

10114141424130 is a wasteful number, since it uses less digits than its factorization.

10114141424130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49125 (or 49099 counting only the distinct ones).

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

Adding to 10114141424130 its reverse (3142414141101), we get a palindrome (13256555565231).

The spelling of 10114141424130 in words is "ten trillion, one hundred fourteen billion, one hundred forty-one million, four hundred twenty-four thousand, one hundred thirty".