10103021120 has 224 divisors, whose sum is σ = 26391339648. Its totient is φ = 3669000192.

The previous prime is 10103021113. The next prime is 10103021141. The reversal of 10103021120 is 2112030101.

10103021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19317179 + ... + 19317701.

Almost surely, 2^10103021120 is an apocalyptic number.

10103021120 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 10103021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195669824).

10103021120 is an abundant number, since it is smaller than the sum of its proper divisors (16288318528).

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

10103021120 is a wasteful number, since it uses less digits than its factorization.

10103021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10103021120 its reverse (2112030101), we get a palindrome (12215051221).

The spelling of 10103021120 in words is "ten billion, one hundred three million, twenty-one thousand, one hundred twenty".