212105115213 has 32 divisors (see below), whose sum is σ = 302393371392. Its totient is φ = 131915942400.

The previous prime is 212105115191. The next prime is 212105115241. The reversal of 212105115213 is 312511501212.

212105115213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212105115213 - 2¹⁰ = 212105114189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212105115253) 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 31 ways as a sum of consecutive naturals, for example, 11071623 + ... + 11090763.

It is an arithmetic number, because the mean of its divisors is an integer number (9449792856).

Almost surely, 2^212105115213 is an apocalyptic number.

212105115213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212105115213 is a deficient number, since it is larger than the sum of its proper divisors (90288256179).

212105115213 is a wasteful number, since it uses less digits than its factorization.

212105115213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 212105115213 its reverse (312511501212), we get a palindrome (524616616425).

The spelling of 212105115213 in words is "two hundred twelve billion, one hundred five million, one hundred fifteen thousand, two hundred thirteen".