2003102032120 has 128 divisors (see below), whose sum is σ = 5302331228160. Its totient is φ = 666664404480.

The previous prime is 2003102032097. The next prime is 2003102032153. The reversal of 2003102032120 is 212302013002.

It is a junction number, because it is equal to n+sod(n) for n = 2003102032094 and 2003102032103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4240857 + ... + 4689463.

It is an arithmetic number, because the mean of its divisors is an integer number (41424462720).

Almost surely, 2^{2003102032120} is an apocalyptic number.

2003102032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003102032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651165614080).

2003102032120 is an abundant number, since it is smaller than the sum of its proper divisors (3299229196040).

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

2003102032120 is a wasteful number, since it uses less digits than its factorization.

2003102032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449093 (or 449089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2003102032120 its reverse (212302013002), we get a palindrome (2215404045122).

The spelling of 2003102032120 in words is "two trillion, three billion, one hundred two million, thirty-two thousand, one hundred twenty".