10005141441127 has 24 divisors (see below), whose sum is σ = 12356298058896. Its totient is φ = 8049735283968.

The previous prime is 10005141441083. The next prime is 10005141441137. The reversal of 10005141441127 is 72114414150001.

It is a de Polignac number, because none of the positive numbers 2^k-10005141441127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005141441137) 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, 15789793 + ... + 16411210.

It is an arithmetic number, because the mean of its divisors is an integer number (514845752454).

Almost surely, 2^{10005141441127} is an apocalyptic number.

10005141441127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10005141441127 is a deficient number, since it is larger than the sum of its proper divisors (2351156617769).

10005141441127 is a wasteful number, since it uses less digits than its factorization.

10005141441127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32201407 (or 32201400 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

Adding to 10005141441127 its reverse (72114414150001), we get a palindrome (82119555591128).

The spelling of 10005141441127 in words is "ten trillion, five billion, one hundred forty-one million, four hundred forty-one thousand, one hundred twenty-seven".