1003123104102 has 96 divisors (see below), whose sum is σ = 2551416558912. Its totient is φ = 278821170432.

The previous prime is 1003123104091. The next prime is 1003123104103. The reversal of 1003123104102 is 2014013213001.

1003123104102 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 310 + 41 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123104103) 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 47 ways as a sum of consecutive naturals, for example, 52750348 + ... + 52769360.

It is an arithmetic number, because the mean of its divisors is an integer number (26577255822).

Almost surely, 2^{1003123104102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003123104102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275708279456).

1003123104102 is an abundant number, since it is smaller than the sum of its proper divisors (1548293454810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003123104102 is a wasteful number, since it uses less digits than its factorization.

1003123104102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30382 (or 30379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003123104102 its reverse (2014013213001), we get a palindrome (3017136317103).

The spelling of 1003123104102 in words is "one trillion, three billion, one hundred twenty-three million, one hundred four thousand, one hundred two".