10123001123 has 16 divisors (see below), whose sum is σ = 10365692064. Its totient is φ = 9883399680.

The previous prime is 10123001117. The next prime is 10123001129. The reversal of 10123001123 is 32110032101.

10123001123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10123001117) and next prime (10123001129).

It is a cyclic number.

It is not a de Polignac number, because 10123001123 - 2¹⁸ = 10122738979 is a prime.

It is a super-2 number, since 2×10123001123² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10123001098 and 10123001107.

It is not an unprimeable number, because it can be changed into a prime (10123001129) 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, 4085561 + ... + 4088037.

It is an arithmetic number, because the mean of its divisors is an integer number (647855754).

Almost surely, 2^10123001123 is an apocalyptic number.

10123001123 is a deficient number, since it is larger than the sum of its proper divisors (242690941).

10123001123 is a wasteful number, since it uses less digits than its factorization.

10123001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10123001123 its reverse (32110032101), we get a palindrome (42233033224).

The spelling of 10123001123 in words is "ten billion, one hundred twenty-three million, one thousand, one hundred twenty-three".