103302101120 has 64 divisors (see below), whose sum is σ = 246997906200. Its totient is φ = 41313927168.

The previous prime is 103302101113. The next prime is 103302101137. The reversal of 103302101120 is 21101203301.

103302101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83909867584 + 19392233536 = 289672^2 + 139256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103302101095 and 103302101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5705522 + ... + 5723598.

Almost surely, 2^103302101120 is an apocalyptic number.

103302101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103302101120 is an abundant number, since it is smaller than the sum of its proper divisors (143695805080).

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

103302101120 is an equidigital number, since it uses as much as digits as its factorization.

103302101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27025 (or 27013 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103302101120 its reverse (21101203301), we get a palindrome (124403304421).

The spelling of 103302101120 in words is "one hundred three billion, three hundred two million, one hundred one thousand, one hundred twenty".