100033300101 has 16 divisors (see below), whose sum is σ = 152509968000. Its totient is φ = 57132533568.

The previous prime is 100033300097. The next prime is 100033300109. The reversal of 100033300101 is 101003330001.

It is not a de Polignac number, because 100033300101 - 2² = 100033300097 is a prime.

It is a super-2 number, since 2×100033300101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033300109) 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 15 ways as a sum of consecutive naturals, for example, 1181106 + ... + 1262963.

It is an arithmetic number, because the mean of its divisors is an integer number (9531873000).

Almost surely, 2^100033300101 is an apocalyptic number.

It is an amenable number.

100033300101 is a deficient number, since it is larger than the sum of its proper divisors (52476667899).

100033300101 is a wasteful number, since it uses less digits than its factorization.

100033300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446028.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100033300101 its reverse (101003330001), we get a palindrome (201036630102).

The spelling of 100033300101 in words is "one hundred billion, thirty-three million, three hundred thousand, one hundred one".