100432120124 has 96 divisors (see below), whose sum is σ = 220201390080. Its totient is φ = 39080143872.

The previous prime is 100432120097. The next prime is 100432120169. The reversal of 100432120124 is 421021234001.

It is a super-2 number, since 2×100432120124² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100432120096 and 100432120105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21628547 + ... + 21633189.

It is an arithmetic number, because the mean of its divisors is an integer number (2293764480).

Almost surely, 2^100432120124 is an apocalyptic number.

100432120124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100432120124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100695040).

100432120124 is an abundant number, since it is smaller than the sum of its proper divisors (119769269956).

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

100432120124 is a wasteful number, since it uses less digits than its factorization.

100432120124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6265 counting only the distinct ones).

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

Adding to 100432120124 its reverse (421021234001), we get a palindrome (521453354125).

The spelling of 100432120124 in words is "one hundred billion, four hundred thirty-two million, one hundred twenty thousand, one hundred twenty-four".