101003121203103 has 24 divisors (see below), whose sum is σ = 170612876573568. Its totient is φ = 56373835088592.

The previous prime is 101003121203087. The next prime is 101003121203191. The reversal of 101003121203103 is 301302121300101.

101003121203103 is a `hidden beast` number, since 10 + 10 + 0 + 312 + 1 + 20 + 310 + 3 = 666.

It is not a de Polignac number, because 101003121203103 - 2⁴ = 101003121203087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003125203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18642138525 + ... + 18642143942.

It is an arithmetic number, because the mean of its divisors is an integer number (7108869857232).

Almost surely, 2^{101003121203103} is an apocalyptic number.

101003121203103 is a deficient number, since it is larger than the sum of its proper divisors (69609755370465).

101003121203103 is a wasteful number, since it uses less digits than its factorization.

101003121203103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37284282523 (or 37284282520 counting only the distinct ones).

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

Adding to 101003121203103 its reverse (301302121300101), we get a palindrome (402305242503204).

The spelling of 101003121203103 in words is "one hundred one trillion, three billion, one hundred twenty-one million, two hundred three thousand, one hundred three".