211112222120221 has 8 divisors (see below), whose sum is σ = 218392397929080. Its totient is φ = 203832075912192.

The previous prime is 211112222120213. The next prime is 211112222120227. The reversal of 211112222120221 is 122021222211112.

It can be written as a sum of positive squares in 4 ways, for example, as 110300300736025 + 100811921384196 = 10502395^2 + 10040514^2 .

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 211112222120221 - 2³ = 211112222120213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211112222120192 and 211112222120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112222120227) 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 7 ways as a sum of consecutive naturals, for example, 7626901 + ... + 21917893.

It is an arithmetic number, because the mean of its divisors is an integer number (27299049741135).

Almost surely, 2^{211112222120221} is an apocalyptic number.

It is an amenable number.

211112222120221 is a deficient number, since it is larger than the sum of its proper divisors (7280175808859).

211112222120221 is a wasteful number, since it uses less digits than its factorization.

211112222120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800415.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211112222120221 its reverse (122021222211112), we get a palindrome (333133444331333).

The spelling of 211112222120221 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".