10100103123 has 32 divisors (see below), whose sum is σ = 14866156800. Its totient is φ = 6048748160.

The previous prime is 10100103107. The next prime is 10100103179. The reversal of 10100103123 is 32130100101.

10100103123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100103123 - 2⁴ = 10100103107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100103099 and 10100103108.

It is not an unprimeable number, because it can be changed into a prime (10100103193) 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 31 ways as a sum of consecutive naturals, for example, 963436 + ... + 973862.

It is an arithmetic number, because the mean of its divisors is an integer number (464567400).

Almost surely, 2^10100103123 is an apocalyptic number.

10100103123 is a deficient number, since it is larger than the sum of its proper divisors (4766053677).

10100103123 is a wasteful number, since it uses less digits than its factorization.

10100103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100103123 its reverse (32130100101), we get a palindrome (42230203224).

The spelling of 10100103123 in words is "ten billion, one hundred million, one hundred three thousand, one hundred twenty-three".