211212222122121 has 64 divisors (see below), whose sum is σ = 318722797575936. Its totient is φ = 123284467584000.

The previous prime is 211212222122093. The next prime is 211212222122129. The reversal of 211212222122121 is 121221222212112.

It is not a de Polignac number, because 211212222122121 - 2⁵ = 211212222122089 is a prime.

It is a super-2 number, since 2×211212222122121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212222122091 and 211212222122100.

It is not an unprimeable number, because it can be changed into a prime (211212222122129) 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 63 ways as a sum of consecutive naturals, for example, 509478495 + ... + 509892891.

It is an arithmetic number, because the mean of its divisors is an integer number (4980043712124).

Almost surely, 2^{211212222122121} is an apocalyptic number.

It is an amenable number.

211212222122121 is a deficient number, since it is larger than the sum of its proper divisors (107510575453815).

211212222122121 is a wasteful number, since it uses less digits than its factorization.

211212222122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418682.

The product of its digits is 512, while the sum is 24.

Adding to 211212222122121 its reverse (121221222212112), we get a palindrome (332433444334233).

The spelling of 211212222122121 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".