10103332120 has 128 divisors (see below), whose sum is σ = 26386790400. Its totient is φ = 3410035200.

The previous prime is 10103332097. The next prime is 10103332123. The reversal of 10103332120 is 2123330101.

It is a junction number, because it is equal to n+sod(n) for n = 10103332094 and 10103332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103332123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14620975 + ... + 14621665.

It is an arithmetic number, because the mean of its divisors is an integer number (206146800).

Almost surely, 2^10103332120 is an apocalyptic number.

10103332120 is a gapful number since it is divisible by the number (10) 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 10103332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193395200).

10103332120 is an abundant number, since it is smaller than the sum of its proper divisors (16283458280).

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

10103332120 is a wasteful number, since it uses less digits than its factorization.

10103332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10103332120 its reverse (2123330101), we get a palindrome (12226662221).

The spelling of 10103332120 in words is "ten billion, one hundred three million, three hundred thirty-two thousand, one hundred twenty".