212331300100 has 36 divisors (see below), whose sum is σ = 465320912868. Its totient is φ = 84091600000.

The previous prime is 212331300079. The next prime is 212331300113. The reversal of 212331300100 is 1003133212.

212331300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 55782881856 + 156548418244 = 236184^2 + 395662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10501351 + ... + 10521550.

It is an arithmetic number, because the mean of its divisors is an integer number (12925580913).

Almost surely, 2^212331300100 is an apocalyptic number.

212331300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212331300100 is an abundant number, since it is smaller than the sum of its proper divisors (252989612768).

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

212331300100 is a wasteful number, since it uses less digits than its factorization.

212331300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21023016 (or 21023009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 212331300100 its reverse (1003133212), we get a palindrome (213334433312).

The spelling of 212331300100 in words is "two hundred twelve billion, three hundred thirty-one million, three hundred thousand, one hundred".