10042114344141 has 32 divisors (see below), whose sum is σ = 14954412261888. Its totient is φ = 5941406399040.

The previous prime is 10042114344137. The next prime is 10042114344173. The reversal of 10042114344141 is 14144341124001.

It is not a de Polignac number, because 10042114344141 - 2² = 10042114344137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042114344099 and 10042114344108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042114354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754015 + ... + 4544531.

It is an arithmetic number, because the mean of its divisors is an integer number (467325383184).

Almost surely, 2^{10042114344141} is an apocalyptic number.

10042114344141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042114344141 is a deficient number, since it is larger than the sum of its proper divisors (4912297917747).

10042114344141 is a wasteful number, since it uses less digits than its factorization.

10042114344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792441.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10042114344141 its reverse (14144341124001), we get a palindrome (24186455468142).

The spelling of 10042114344141 in words is "ten trillion, forty-two billion, one hundred fourteen million, three hundred forty-four thousand, one hundred forty-one".