100031332232100 has 144 divisors (see below), whose sum is σ = 291097819172160. Its totient is φ = 26520827558400.

The previous prime is 100031332231993. The next prime is 100031332232171. The reversal of 100031332232100 is 1232233130001.

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 47 ways as a sum of consecutive naturals, for example, 212784106 + ... + 213253694.

It is an arithmetic number, because the mean of its divisors is an integer number (2021512633140).

Almost surely, 2^{100031332232100} is an apocalyptic number.

100031332232100 is a gapful number since it is divisible by the number (10) 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 100031332232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145548909586080).

100031332232100 is an abundant number, since it is smaller than the sum of its proper divisors (191066486940060).

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

100031332232100 is a wasteful number, since it uses less digits than its factorization.

100031332232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473710 (or 473703 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100031332232100 its reverse (1232233130001), we get a palindrome (101263565362101).

The spelling of 100031332232100 in words is "one hundred trillion, thirty-one billion, three hundred thirty-two million, two hundred thirty-two thousand, one hundred".