100232032330032 has 160 divisors (see below), whose sum is σ = 262442837583360. Its totient is φ = 32960597913600.

The previous prime is 100232032329899. The next prime is 100232032330051. The reversal of 100232032330032 is 230033230232001.

It is a super-3 number, since 3×100232032330032³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100232032329984 and 100232032330011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6280588069 + ... + 6280604027.

It is an arithmetic number, because the mean of its divisors is an integer number (1640267734896).

Almost surely, 2^{100232032330032} is an apocalyptic number.

100232032330032 is a gapful number since it is divisible by the number (12) 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 100232032330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131221418791680).

100232032330032 is an abundant number, since it is smaller than the sum of its proper divisors (162210805253328).

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

100232032330032 is a wasteful number, since it uses less digits than its factorization.

100232032330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21411 (or 21405 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 100232032330032 its reverse (230033230232001), we get a palindrome (330265262562033).

The spelling of 100232032330032 in words is "one hundred trillion, two hundred thirty-two billion, thirty-two million, three hundred thirty thousand, thirty-two".