213102222112 has 24 divisors (see below), whose sum is σ = 451817692956. Its totient is φ = 98354871552.

The previous prime is 213102222097. The next prime is 213102222119. The reversal of 213102222112 is 211222201312.

213102222112 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 2 ways, for example, as 179772608016 + 33329614096 = 423996^2 + 182564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213102222112.

It is not an unprimeable number, because it can be changed into a prime (213102222119) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 256132063 + ... + 256132894.

Almost surely, 2^213102222112 is an apocalyptic number.

It is an amenable number.

213102222112 is an abundant number, since it is smaller than the sum of its proper divisors (238715470844).

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

213102222112 is a wasteful number, since it uses less digits than its factorization.

213102222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512264980 (or 512264972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 213102222112 its reverse (211222201312), we get a palindrome (424324423424).

It can be divided in two parts, 21310 and 2222112, that added together give a palindrome (2243422).

The spelling of 213102222112 in words is "two hundred thirteen billion, one hundred two million, two hundred twenty-two thousand, one hundred twelve".