10111142041 has 64 divisors (see below), whose sum is σ = 13766860800. Its totient is φ = 7171338240.

The previous prime is 10111142009. The next prime is 10111142057. The reversal of 10111142041 is 14024111101.

10111142041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111142041 - 2⁵ = 10111142009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111142081) 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 63 ways as a sum of consecutive naturals, for example, 38445276 + ... + 38445538.

It is an arithmetic number, because the mean of its divisors is an integer number (215107200).

Almost surely, 2^10111142041 is an apocalyptic number.

10111142041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111142041 is a deficient number, since it is larger than the sum of its proper divisors (3655718759).

10111142041 is a wasteful number, since it uses less digits than its factorization.

10111142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111142041 its reverse (14024111101), we get a palindrome (24135253142).

The spelling of 10111142041 in words is "ten billion, one hundred eleven million, one hundred forty-two thousand, forty-one".