212031032132100 has 144 divisors (see below), whose sum is σ = 620502247189440. Its totient is φ = 55896411916800.

The previous prime is 212031032132089. The next prime is 212031032132119. The reversal of 212031032132100 is 1231230130212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7167670 + ... + 21804530.

It is an arithmetic number, because the mean of its divisors is an integer number (4309043383260).

Almost surely, 2^{212031032132100} is an apocalyptic number.

212031032132100 is a gapful number since it is divisible by the number (20) 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 212031032132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310251123594720).

212031032132100 is an abundant number, since it is smaller than the sum of its proper divisors (408471215057340).

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

212031032132100 is a wasteful number, since it uses less digits than its factorization.

212031032132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14637430 (or 14637423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212031032132100 its reverse (1231230130212), we get a palindrome (213262262262312).

The spelling of 212031032132100 in words is "two hundred twelve trillion, thirty-one billion, thirty-two million, one hundred thirty-two thousand, one hundred".