10033312012101 has 24 divisors (see below), whose sum is σ = 16574066406144. Its totient is φ = 5729465466720.

The previous prime is 10033312012093. The next prime is 10033312012123. The reversal of 10033312012101 is 10121021333001.

10033312012101 is a `hidden beast` number, since 1 + 0 + 0 + 333 + 120 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 10033312012101 - 2³ = 10033312012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033312010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53456730 + ... + 53644091.

It is an arithmetic number, because the mean of its divisors is an integer number (690586100256).

Almost surely, 2^{10033312012101} is an apocalyptic number.

It is an amenable number.

10033312012101 is a deficient number, since it is larger than the sum of its proper divisors (6540754394043).

10033312012101 is a wasteful number, since it uses less digits than its factorization.

10033312012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107102321 (or 107102318 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10033312012101 its reverse (10121021333001), we get a palindrome (20154333345102).

The spelling of 10033312012101 in words is "ten trillion, thirty-three billion, three hundred twelve million, twelve thousand, one hundred one".