10033102023201 has 12 divisors (see below), whose sum is σ = 15344744271012. Its totient is φ = 6295279700736.

The previous prime is 10033102023179. The next prime is 10033102023209. The reversal of 10033102023201 is 10232020133001.

10033102023201 is a `hidden beast` number, since 10 + 0 + 3 + 310 + 20 + 2 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8589442100625 + 1443659922576 = 2930775^2 + 1201524^2 .

It is not a de Polignac number, because 10033102023201 - 2⁷ = 10033102023073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10033102023209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32787914956 + ... + 32787915261.

It is an arithmetic number, because the mean of its divisors is an integer number (1278728689251).

Almost surely, 2^{10033102023201} is an apocalyptic number.

It is an amenable number.

10033102023201 is a deficient number, since it is larger than the sum of its proper divisors (5311642247811).

10033102023201 is a wasteful number, since it uses less digits than its factorization.

10033102023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65575830240 (or 65575830237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033102023201 its reverse (10232020133001), we get a palindrome (20265122156202).

The spelling of 10033102023201 in words is "ten trillion, thirty-three billion, one hundred two million, twenty-three thousand, two hundred one".