10142141001041 has 24 divisors (see below), whose sum is σ = 12494050587720. Its totient is φ = 8180552712192.

The previous prime is 10142141001001. The next prime is 10142141001043. The reversal of 10142141001041 is 14010014124101.

10142141001041 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 4100888254225 + 6041252746816 = 2025065^2 + 2457896^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10142141001041 is a prime.

It is a super-3 number, since 3×10142141001041³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142141001043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096265 + ... + 6087993.

It is an arithmetic number, because the mean of its divisors is an integer number (520585441155).

Almost surely, 2^{10142141001041} is an apocalyptic number.

It is an amenable number.

10142141001041 is a deficient number, since it is larger than the sum of its proper divisors (2351909586679).

10142141001041 is a wasteful number, since it uses less digits than its factorization.

10142141001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997873 (or 1997866 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10142141001041 its reverse (14010014124101), we get a palindrome (24152155125142).

The spelling of 10142141001041 in words is "ten trillion, one hundred forty-two billion, one hundred forty-one million, one thousand, forty-one".