213232310102100 has 144 divisors (see below), whose sum is σ = 619218865706112. Its totient is φ = 56653305815040.

The previous prime is 213232310102023. The next prime is 213232310102167. The reversal of 213232310102100 is 1201013232312.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 125494809 + ... + 127182591.

It is an arithmetic number, because the mean of its divisors is an integer number (4300131011848).

Almost surely, 2^{213232310102100} is an apocalyptic number.

213232310102100 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 213232310102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309609432853056).

213232310102100 is an abundant number, since it is smaller than the sum of its proper divisors (405986555604012).

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

213232310102100 is a wasteful number, since it uses less digits than its factorization.

213232310102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689346 (or 1689339 counting only the distinct ones).

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

Adding to 213232310102100 its reverse (1201013232312), we get a palindrome (214433323334412).

The spelling of 213232310102100 in words is "two hundred thirteen trillion, two hundred thirty-two billion, three hundred ten million, one hundred two thousand, one hundred".