100032242210032 has 80 divisors (see below), whose sum is σ = 212325465836160. Its totient is φ = 45277414956800.

The previous prime is 100032242210009. The next prime is 100032242210053. The reversal of 100032242210032 is 230012242230001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100032242209985 and 100032242210012.

It is a congruent number.

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, 38425407 + ... + 40946017.

It is an arithmetic number, because the mean of its divisors is an integer number (2654068322952).

Almost surely, 2^{100032242210032} is an apocalyptic number.

It is an amenable number.

100032242210032 is an abundant number, since it is smaller than the sum of its proper divisors (112293223626128).

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

100032242210032 is a wasteful number, since it uses less digits than its factorization.

100032242210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521582 (or 2521576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100032242210032 its reverse (230012242230001), we get a palindrome (330044484440033).

The spelling of 100032242210032 in words is "one hundred trillion, thirty-two billion, two hundred forty-two million, two hundred ten thousand, thirty-two".