10330103102120 has 16 divisors (see below), whose sum is σ = 23242731979860. Its totient is φ = 4132041240832.

The previous prime is 10330103102087. The next prime is 10330103102131. The reversal of 10330103102120 is 2120130103301.

It can be written as a sum of positive squares in 2 ways, for example, as 10227037704676 + 103065397444 = 3197974^2 + 321038^2 .

It is a super-3 number, since 3×10330103102120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 129126288737 + ... + 129126288816.

Almost surely, 2^{10330103102120} is an apocalyptic number.

10330103102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330103102120 is an abundant number, since it is smaller than the sum of its proper divisors (12912628877740).

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

10330103102120 is a wasteful number, since it uses less digits than its factorization.

10330103102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258252577564 (or 258252577560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10330103102120 its reverse (2120130103301), we get a palindrome (12450233205421).

The spelling of 10330103102120 in words is "ten trillion, three hundred thirty billion, one hundred three million, one hundred two thousand, one hundred twenty".