1003112100103 has 8 divisors (see below), whose sum is σ = 1036671866496. Its totient is φ = 969985363200.

The previous prime is 1003112100079. The next prime is 1003112100143. The reversal of 1003112100103 is 3010012113001.

1003112100103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003112100103 - 2¹⁷ = 1003111969031 is a prime.

It is a super-2 number, since 2×1003112100103² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003112100143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108252663 + ... + 108261928.

It is an arithmetic number, because the mean of its divisors is an integer number (129583983312).

Almost surely, 2^{1003112100103} is an apocalyptic number.

1003112100103 is a deficient number, since it is larger than the sum of its proper divisors (33559766393).

1003112100103 is a wasteful number, since it uses less digits than its factorization.

1003112100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216514745.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003112100103 its reverse (3010012113001), we get a palindrome (4013124213104).

The spelling of 1003112100103 in words is "one trillion, three billion, one hundred twelve million, one hundred thousand, one hundred three".