100033033103101 has 16 divisors (see below), whose sum is σ = 117423550423296. Its totient is φ = 83417941812096.

The previous prime is 100033033103089. The next prime is 100033033103117. The reversal of 100033033103101 is 101301330330001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100033033103101 - 2⁹ = 100033033102589 is a prime.

It is a super-2 number, since 2×100033033103101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033033103161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13905496 + ... + 19835041.

It is an arithmetic number, because the mean of its divisors is an integer number (7338971901456).

Almost surely, 2^{100033033103101} is an apocalyptic number.

It is an amenable number.

100033033103101 is a deficient number, since it is larger than the sum of its proper divisors (17390517320195).

100033033103101 is a wasteful number, since it uses less digits than its factorization.

100033033103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33752028.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100033033103101 its reverse (101301330330001), we get a palindrome (201334363433102).

The spelling of 100033033103101 in words is "one hundred trillion, thirty-three billion, thirty-three million, one hundred three thousand, one hundred one".