212121100112 has 40 divisors (see below), whose sum is σ = 423884869632. Its totient is φ = 102776144000.

The previous prime is 212121100099. The next prime is 212121100117. The reversal of 212121100112 is 211001121212.

212121100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×212121100112³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121100117) 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 7 ways as a sum of consecutive naturals, for example, 1320464 + ... + 1472367.

Almost surely, 2^212121100112 is an apocalyptic number.

It is an amenable number.

212121100112 is a deficient number, since it is larger than the sum of its proper divisors (211763769520).

212121100112 is a wasteful number, since it uses less digits than its factorization.

212121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792987 (or 2792981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212121100112 its reverse (211001121212), we get a palindrome (423122221324).

It can be divided in two parts, 212121100 and 112, that added together give a palindrome (212121212).

The spelling of 212121100112 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".