212202122121 has 48 divisors (see below), whose sum is σ = 337812104448. Its totient is φ = 127289167200.

The previous prime is 212202122101. The next prime is 212202122137. The reversal of 212202122121 is 121221202212.

It is a happy number.

212202122121 is a `hidden beast` number, since 21 + 220 + 212 + 212 + 1 = 666.

212202122121 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 212202122121 - 2⁵ = 212202122089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212202122094 and 212202122103.

It is not an unprimeable number, because it can be changed into a prime (212202122101) 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, 12395850 + ... + 12412956.

It is an arithmetic number, because the mean of its divisors is an integer number (7037752176).

Almost surely, 2^212202122121 is an apocalyptic number.

It is an amenable number.

212202122121 is a deficient number, since it is larger than the sum of its proper divisors (125609982327).

212202122121 is a wasteful number, since it uses less digits than its factorization.

212202122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212202122121 its reverse (121221202212), we get a palindrome (333423324333).

The spelling of 212202122121 in words is "two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-one".