102003013123 has 32 divisors (see below), whose sum is σ = 114483119040. Its totient is φ = 90098880000.

The previous prime is 102003013061. The next prime is 102003013127. The reversal of 102003013123 is 321310300201.

It is a cyclic number.

It is not a de Polignac number, because 102003013123 - 2⁹ = 102003012611 is a prime.

It is a super-2 number, since 2×102003013123² (a number of 23 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 = 102003013097 and 102003013106.

It is not an unprimeable number, because it can be changed into a prime (102003013127) 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 31 ways as a sum of consecutive naturals, for example, 34493961 + ... + 34496917.

It is an arithmetic number, because the mean of its divisors is an integer number (3577597470).

Almost surely, 2^102003013123 is an apocalyptic number.

102003013123 is a deficient number, since it is larger than the sum of its proper divisors (12480105917).

102003013123 is a wasteful number, since it uses less digits than its factorization.

102003013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102003013123 its reverse (321310300201), we get a palindrome (423313313324).

The spelling of 102003013123 in words is "one hundred two billion, three million, thirteen thousand, one hundred twenty-three".