100033032320032 has 96 divisors (see below), whose sum is σ = 237140359852032. Its totient is φ = 40609200386304.

The previous prime is 100033032320027. The next prime is 100033032320099. The reversal of 100033032320032 is 230023230330001.

It is a junction number, because it is equal to n+sod(n) for n = 100033032319985 and 100033032320012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93723468 + ... + 94784779.

It is an arithmetic number, because the mean of its divisors is an integer number (2470212081792).

Almost surely, 2^{100033032320032} is an apocalyptic number.

It is an amenable number.

100033032320032 is an abundant number, since it is smaller than the sum of its proper divisors (137107327532000).

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

100033032320032 is a wasteful number, since it uses less digits than its factorization.

100033032320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188508390 (or 188508382 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 100033032320032 its reverse (230023230330001), we get a palindrome (330056262650033).

The spelling of 100033032320032 in words is "one hundred trillion, thirty-three billion, thirty-two million, three hundred twenty thousand, thirty-two".