10004144132103 has 16 divisors (see below), whose sum is σ = 14552069116032. Its totient is φ = 6062873180000.

The previous prime is 10004144132083. The next prime is 10004144132107. The reversal of 10004144132103 is 30123144140001.

It is a cyclic number.

It is not a de Polignac number, because 10004144132103 - 2¹² = 10004144128007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004144132107) 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 15 ways as a sum of consecutive naturals, for example, 5279388 + ... + 6919553.

It is an arithmetic number, because the mean of its divisors is an integer number (909504319752).

Almost surely, 2^{10004144132103} is an apocalyptic number.

10004144132103 is a deficient number, since it is larger than the sum of its proper divisors (4547924983929).

10004144132103 is a wasteful number, since it uses less digits than its factorization.

10004144132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223806.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10004144132103 its reverse (30123144140001), we get a palindrome (40127288272104).

The spelling of 10004144132103 in words is "ten trillion, four billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred three".