10100103020033 has 8 divisors (see below), whose sum is σ = 10878333820200. Its totient is φ = 9322057905408.

The previous prime is 10100103020011. The next prime is 10100103020081. The reversal of 10100103020033 is 33002030100101.

10100103020033 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 4 ways, for example, as 1899913744 + 10098203106289 = 43588^2 + 3177767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100103020033 - 2²⁸ = 10099834584577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100103023033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46308398 + ... + 46525991.

It is an arithmetic number, because the mean of its divisors is an integer number (1359791727525).

Almost surely, 2^{10100103020033} is an apocalyptic number.

10100103020033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100103020033 is a deficient number, since it is larger than the sum of its proper divisors (778230800167).

10100103020033 is an equidigital number, since it uses as much as digits as its factorization.

10100103020033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92842771.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10100103020033 its reverse (33002030100101), we get a palindrome (43102133120134).

The spelling of 10100103020033 in words is "ten trillion, one hundred billion, one hundred three million, twenty thousand, thirty-three".