100133000120 has 32 divisors (see below), whose sum is σ = 225318028320. Its totient is φ = 40049861760.

The previous prime is 100133000111. The next prime is 100133000129. The reversal of 100133000120 is 21000331001.

It is an interprime number because it is at equal distance from previous prime (100133000111) and next prime (100133000129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133000129) 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 7 ways as a sum of consecutive naturals, for example, 413309 + ... + 609171.

It is an arithmetic number, because the mean of its divisors is an integer number (7041188385).

Almost surely, 2^100133000120 is an apocalyptic number.

100133000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133000120 is an abundant number, since it is smaller than the sum of its proper divisors (125185028200).

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

100133000120 is a wasteful number, since it uses less digits than its factorization.

100133000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208655 (or 208651 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100133000120 its reverse (21000331001), we get a palindrome (121133331121).

The spelling of 100133000120 in words is "one hundred billion, one hundred thirty-three million, one hundred twenty", and thus it is an aban number.