10003102141 has 16 divisors (see below), whose sum is σ = 11027762928. Its totient is φ = 9034444800.

The previous prime is 10003102139. The next prime is 10003102147. The reversal of 10003102141 is 14120130001.

It can be written as a sum of positive squares in 8 ways, for example, as 502701241 + 9500400900 = 22421^2 + 97470^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003102141 - 2¹ = 10003102139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003102147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75120 + ... + 160153.

It is an arithmetic number, because the mean of its divisors is an integer number (689235183).

Almost surely, 2^10003102141 is an apocalyptic number.

It is an amenable number.

10003102141 is a deficient number, since it is larger than the sum of its proper divisors (1024660787).

10003102141 is a wasteful number, since it uses less digits than its factorization.

10003102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235392.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10003102141 its reverse (14120130001), we get a palindrome (24123232142).

The spelling of 10003102141 in words is "ten billion, three million, one hundred two thousand, one hundred forty-one".