10100332103333 has 16 divisors (see below), whose sum is σ = 10789535139120. Its totient is φ = 9421698564096.

The previous prime is 10100332103287. The next prime is 10100332103347. The reversal of 10100332103333 is 33330123300101.

10100332103333 is digitally balanced in base 2, 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 8 ways, for example, as 2221942021924 + 7878390081409 = 1490618^2 + 2806847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100332103333 - 2¹⁶ = 10100332037797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100332103299 and 10100332103308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100332903333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56905541 + ... + 57082757.

It is an arithmetic number, because the mean of its divisors is an integer number (674345946195).

Almost surely, 2^{10100332103333} is an apocalyptic number.

It is an amenable number.

10100332103333 is a deficient number, since it is larger than the sum of its proper divisors (689203035787).

10100332103333 is a wasteful number, since it uses less digits than its factorization.

10100332103333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207016.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10100332103333 its reverse (33330123300101), we get a palindrome (43430455403434).

The spelling of 10100332103333 in words is "ten trillion, one hundred billion, three hundred thirty-two million, one hundred three thousand, three hundred thirty-three".