10003681127 has 16 divisors (see below), whose sum is σ = 12163219200. Its totient is φ = 8108807040.

The previous prime is 10003681117. The next prime is 10003681147. The reversal of 10003681127 is 72118630001.

It is a cyclic number.

It is not a de Polignac number, because 10003681127 - 2⁸ = 10003680871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003681127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003681117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404227 + ... + 1411332.

It is an arithmetic number, because the mean of its divisors is an integer number (760201200).

Almost surely, 2^10003681127 is an apocalyptic number.

10003681127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10003681127 is a deficient number, since it is larger than the sum of its proper divisors (2159538073).

10003681127 is a wasteful number, since it uses less digits than its factorization.

10003681127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815606.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 10003681127 in words is "ten billion, three million, six hundred eighty-one thousand, one hundred twenty-seven".