2003112102033 has 72 divisors (see below), whose sum is σ = 3598361065728. Its totient is φ = 1066844314368.

The previous prime is 2003112102011. The next prime is 2003112102073. The reversal of 2003112102033 is 3302012113002.

It is not a de Polignac number, because 2003112102033 - 2²⁵ = 2003078547601 is a prime.

It is a super-2 number, since 2×2003112102033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003112101997 and 2003112102015.

It is not an unprimeable number, because it can be changed into a prime (2003112102073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524841 + ... + 2069222.

It is an arithmetic number, because the mean of its divisors is an integer number (49977237024).

Almost surely, 2^{2003112102033} is an apocalyptic number.

It is an amenable number.

2003112102033 is a deficient number, since it is larger than the sum of its proper divisors (1595248963695).

2003112102033 is a wasteful number, since it uses less digits than its factorization.

2003112102033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594203 (or 2594193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003112102033 its reverse (3302012113002), we get a palindrome (5305124215035).

The spelling of 2003112102033 in words is "two trillion, three billion, one hundred twelve million, one hundred two thousand, thirty-three".