212101220121 has 48 divisors (see below), whose sum is σ = 333105986304. Its totient is φ = 119679633696.

The previous prime is 212101220119. The next prime is 212101220129. The reversal of 212101220121 is 121022101212.

212101220121 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 212101220121 - 2¹ = 212101220119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212101220121.

It is not an unprimeable number, because it can be changed into a prime (212101220129) 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 47 ways as a sum of consecutive naturals, for example, 36148630 + ... + 36154496.

It is an arithmetic number, because the mean of its divisors is an integer number (6939708048).

Almost surely, 2^212101220121 is an apocalyptic number.

212101220121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212101220121 is a deficient number, since it is larger than the sum of its proper divisors (121004766183).

212101220121 is a wasteful number, since it uses less digits than its factorization.

212101220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212101220121 its reverse (121022101212), we get a palindrome (333123321333).

The spelling of 212101220121 in words is "two hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred twenty-one".