212112131301 has 32 divisors (see below), whose sum is σ = 363458565120. Its totient is φ = 119746598832.

The previous prime is 212112131279. The next prime is 212112131323. The reversal of 212112131301 is 103131211212.

212112131301 is a `hidden beast` number, since 21 + 211 + 2 + 131 + 301 = 666.

212112131301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212112131279) and next prime (212112131323).

It is not a de Polignac number, because 212112131301 - 2¹¹ = 212112129253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112131351) 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, 6745075 + ... + 6776448.

It is an arithmetic number, because the mean of its divisors is an integer number (11358080160).

Almost surely, 2^212112131301 is an apocalyptic number.

212112131301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112131301 is a deficient number, since it is larger than the sum of its proper divisors (151346433819).

212112131301 is a wasteful number, since it uses less digits than its factorization.

212112131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521622 (or 13521616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212112131301 its reverse (103131211212), we get a palindrome (315243342513).

It can be divided in two parts, 21211 and 2131301, that added together give a palindrome (2152512).

The spelling of 212112131301 in words is "two hundred twelve billion, one hundred twelve million, one hundred thirty-one thousand, three hundred one".