100330001100 has 108 divisors (see below), whose sum is σ = 359404382064. Its totient is φ = 22932570240.

The previous prime is 100330001099. The next prime is 100330001147. The reversal of 100330001100 is 1100033001.

100330001100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100330001100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7956399 + ... + 7968998.

Almost surely, 2^100330001100 is an apocalyptic number.

100330001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330001100 is an abundant number, since it is smaller than the sum of its proper divisors (259074380964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100330001100 is a wasteful number, since it uses less digits than its factorization.

100330001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15925424 (or 15925414 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100330001100 its reverse (1100033001), we get a palindrome (101430034101).

The spelling of 100330001100 in words is "one hundred billion, three hundred thirty million, one thousand, one hundred".