10001141415 has 96 divisors (see below), whose sum is σ = 18547015680. Its totient is φ = 5112797760.

The previous prime is 10001141399. The next prime is 10001141441. The reversal of 10001141415 is 51414110001.

10001141415 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 10001141415 - 2⁴ = 10001141399 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16476042 + ... + 16476648.

It is an arithmetic number, because the mean of its divisors is an integer number (193198080).

Almost surely, 2^10001141415 is an apocalyptic number.

10001141415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001141415 is a deficient number, since it is larger than the sum of its proper divisors (8545874265).

10001141415 is a wasteful number, since it uses less digits than its factorization.

10001141415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10001141415 its reverse (51414110001), we get a palindrome (61415251416).

The spelling of 10001141415 in words is "ten billion, one million, one hundred forty-one thousand, four hundred fifteen".