212121102112 has 24 divisors (see below), whose sum is σ = 417630659292. Its totient is φ = 106056172800.

The previous prime is 212121102101. The next prime is 212121102121. The reversal of 212121102112 is 211201121212.

212121102112 is digitally balanced in base 3, 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 192331365136 + 19789736976 = 438556^2 + 140676^2 .

It is a super-3 number, since 3×212121102112³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 736162 + ... + 982942.

Almost surely, 2^212121102112 is an apocalyptic number.

It is an amenable number.

212121102112 is a deficient number, since it is larger than the sum of its proper divisors (205509557180).

212121102112 is a wasteful number, since it uses less digits than its factorization.

212121102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273652 (or 273644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212121102112 its reverse (211201121212), we get a palindrome (423322223324).

The spelling of 212121102112 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".