100441232120 has 64 divisors (see below), whose sum is σ = 227614212000. Its totient is φ = 39889274368.

The previous prime is 100441232119. The next prime is 100441232123. The reversal of 100441232120 is 21232144001.

It is a super-2 number, since 2×100441232120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100441232092 and 100441232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441232123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136751 + ... + 3168609.

Almost surely, 2^100441232120 is an apocalyptic number.

100441232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441232120 is an abundant number, since it is smaller than the sum of its proper divisors (127172979880).

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

100441232120 is a wasteful number, since it uses less digits than its factorization.

100441232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32432 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100441232120 its reverse (21232144001), we get a palindrome (121673376121).

The spelling of 100441232120 in words is "one hundred billion, four hundred forty-one million, two hundred thirty-two thousand, one hundred twenty".