10330103103120 has 120 divisors (see below), whose sum is σ = 35629549398456. Its totient is φ = 2680242960384.

The previous prime is 10330103103101. The next prime is 10330103103137. The reversal of 10330103103120 is 2130130103301.

It is a happy number.

10330103103120 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 10 + 310 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411609498624 + 9918493604496 = 641568^2 + 3149364^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10330103103120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10330103103093 and 10330103103102.

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 23 ways as a sum of consecutive naturals, for example, 193856677 + ... + 193909956.

Almost surely, 2^{10330103103120} is an apocalyptic number.

10330103103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330103103120 is an abundant number, since it is smaller than the sum of its proper divisors (25299446295336).

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

10330103103120 is a wasteful number, since it uses less digits than its factorization.

10330103103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387766689 (or 387766680 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10330103103120 its reverse (2130130103301), we get a palindrome (12460233206421).

The spelling of 10330103103120 in words is "ten trillion, three hundred thirty billion, one hundred three million, one hundred three thousand, one hundred twenty".