10002112310103 has 16 divisors (see below), whose sum is σ = 13782319248096. Its totient is φ = 6447868636160.

The previous prime is 10002112310093. The next prime is 10002112310111. The reversal of 10002112310103 is 30101321120001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10002112310103 - 2⁶ = 10002112310039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002112310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359800200 + ... + 359827997.

It is an arithmetic number, because the mean of its divisors is an integer number (861394953006).

Almost surely, 2^{10002112310103} is an apocalyptic number.

10002112310103 is a deficient number, since it is larger than the sum of its proper divisors (3780206937993).

10002112310103 is a wasteful number, since it uses less digits than its factorization.

10002112310103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719628354.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10002112310103 its reverse (30101321120001), we get a palindrome (40103433430104).

The spelling of 10002112310103 in words is "ten trillion, two billion, one hundred twelve million, three hundred ten thousand, one hundred three".