100330020120 has 96 divisors (see below), whose sum is σ = 330840362160. Its totient is φ = 24322425600.

The previous prime is 100330020097. The next prime is 100330020121. The reversal of 100330020120 is 21020033001.

It is a happy number.

It is a super-2 number, since 2×100330020120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100330020096 and 100330020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330020121) 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 23 ways as a sum of consecutive naturals, for example, 3440371 + ... + 3469410.

Almost surely, 2^100330020120 is an apocalyptic number.

100330020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330020120 is an abundant number, since it is smaller than the sum of its proper divisors (230510342040).

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

100330020120 is a wasteful number, since it uses less digits than its factorization.

100330020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909817 (or 6909802 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100330020120 its reverse (21020033001), we get a palindrome (121350053121).

The spelling of 100330020120 in words is "one hundred billion, three hundred thirty million, twenty thousand, one hundred twenty".