212102100222121 has 8 divisors (see below), whose sum is σ = 224660270390184. Its totient is φ = 199552994058240.

The previous prime is 212102100222119. The next prime is 212102100222149. The reversal of 212102100222121 is 121222001201212.

It can be written as a sum of positive squares in 4 ways, for example, as 157606330706496 + 54495769515625 = 12554136^2 + 7382125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212102100222121 - 2¹ = 212102100222119 is a prime.

It is a super-2 number, since 2×212102100222121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212102100222161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265952860 + ... + 2266046461.

It is an arithmetic number, because the mean of its divisors is an integer number (28082533798773).

Almost surely, 2^{212102100222121} is an apocalyptic number.

It is an amenable number.

212102100222121 is a deficient number, since it is larger than the sum of its proper divisors (12558170168063).

212102100222121 is a wasteful number, since it uses less digits than its factorization.

212102100222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532002091.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212102100222121 its reverse (121222001201212), we get a palindrome (333324101423333).

The spelling of 212102100222121 in words is "two hundred twelve trillion, one hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".