100132200322020 has 72 divisors (see below), whose sum is σ = 303780865347960. Its totient is φ = 26697830031360.

The previous prime is 100132200322003. The next prime is 100132200322043. The reversal of 100132200322020 is 20223002231001.

100132200322020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 322 + 0 + 0 + 322 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 817263008676 + 99314937313344 = 904026^2 + 9965688^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100132200321984 and 100132200322002.

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 23 ways as a sum of consecutive naturals, for example, 41426251 + ... + 43776690.

Almost surely, 2^{100132200322020} is an apocalyptic number.

100132200322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132200322020 is an abundant number, since it is smaller than the sum of its proper divisors (203648665025940).

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

100132200322020 is a wasteful number, since it uses less digits than its factorization.

100132200322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85209485 (or 85209480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100132200322020 its reverse (20223002231001), we get a palindrome (120355202553021).

The spelling of 100132200322020 in words is "one hundred trillion, one hundred thirty-two billion, two hundred million, three hundred twenty-two thousand, twenty".