100132200120 has 64 divisors (see below), whose sum is σ = 300754944000. Its totient is φ = 26670067328.

The previous prime is 100132200109. The next prime is 100132200127. The reversal of 100132200120 is 21002231001.

It is a super-3 number, since 3×100132200120³ (a number of 34 digits) contains 333 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 = 100132200096 and 100132200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132200127) 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, 396600 + ... + 597959.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296000).

Almost surely, 2^100132200120 is an apocalyptic number.

100132200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132200120 is an abundant number, since it is smaller than the sum of its proper divisors (200622743880).

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

100132200120 is a wasteful number, since it uses less digits than its factorization.

100132200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995412 (or 995408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100132200120 its reverse (21002231001), we get a palindrome (121134431121).

The spelling of 100132200120 in words is "one hundred billion, one hundred thirty-two million, two hundred thousand, one hundred twenty".