1001123103123 has 48 divisors (see below), whose sum is σ = 1761796947456. Its totient is φ = 560068849440.

The previous prime is 1001123103037. The next prime is 1001123103191. The reversal of 1001123103123 is 3213013211001.

It is not a de Polignac number, because 1001123103123 - 2¹⁰ = 1001123102099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001123103096 and 1001123103105.

It is not an unprimeable number, because it can be changed into a prime (1001123103023) 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 47 ways as a sum of consecutive naturals, for example, 14370315 + ... + 14439812.

It is an arithmetic number, because the mean of its divisors is an integer number (36704103072).

Almost surely, 2^{1001123103123} is an apocalyptic number.

1001123103123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001123103123 is a deficient number, since it is larger than the sum of its proper divisors (760673844333).

1001123103123 is a wasteful number, since it uses less digits than its factorization.

1001123103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28810166 (or 28810154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001123103123 its reverse (3213013211001), we get a palindrome (4214136314124).

The spelling of 1001123103123 in words is "one trillion, one billion, one hundred twenty-three million, one hundred three thousand, one hundred twenty-three".