213211100112 has 80 divisors (see below), whose sum is σ = 580731908160. Its totient is φ = 67219808256.

The previous prime is 213211100107. The next prime is 213211100213. The reversal of 213211100112 is 211001112312.

213211100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213211100091 and 213211100100.

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 15 ways as a sum of consecutive naturals, for example, 368368 + ... + 749744.

It is an arithmetic number, because the mean of its divisors is an integer number (7259148852).

Almost surely, 2^213211100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290365954080).

213211100112 is an abundant number, since it is smaller than the sum of its proper divisors (367520808048).

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

213211100112 is a wasteful number, since it uses less digits than its factorization.

213211100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382020 (or 382014 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213211100112 its reverse (211001112312), we get a palindrome (424212212424).

The spelling of 213211100112 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thousand, one hundred twelve".