212112021121 has 128 divisors (see below), whose sum is σ = 306770042880. Its totient is φ = 141129216000.

The previous prime is 212112021103. The next prime is 212112021139. The reversal of 212112021121 is 121120211212.

It is an interprime number because it is at equal distance from previous prime (212112021103) and next prime (212112021139).

It is a cyclic number.

It is not a de Polignac number, because 212112021121 - 2⁹ = 212112020609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112021095 and 212112021104.

It is not an unprimeable number, because it can be changed into a prime (212112021421) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 287025370 + ... + 287026108.

It is an arithmetic number, because the mean of its divisors is an integer number (2396640960).

Almost surely, 2^212112021121 is an apocalyptic number.

It is an amenable number.

212112021121 is a deficient number, since it is larger than the sum of its proper divisors (94658021759).

212112021121 is a wasteful number, since it uses less digits than its factorization.

212112021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

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

Adding to 212112021121 its reverse (121120211212), we get a palindrome (333232232333).

It can be divided in two parts, 2 and 12112021121, that multiplied together give a palindrome (24224042242).

The spelling of 212112021121 in words is "two hundred twelve billion, one hundred twelve million, twenty-one thousand, one hundred twenty-one".