211211102211221 has 32 divisors (see below), whose sum is σ = 255834285138432. Its totient is φ = 170221464207360.

The previous prime is 211211102211209. The next prime is 211211102211259. The reversal of 211211102211221 is 122112201112112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211211102211221 - 2²² = 211211098016917 is a prime.

It is a super-2 number, since 2×211211102211221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211102211193 and 211211102211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211102201221) 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 31 ways as a sum of consecutive naturals, for example, 527910965 + ... + 528310901.

It is an arithmetic number, because the mean of its divisors is an integer number (7994821410576).

Almost surely, 2^{211211102211221} is an apocalyptic number.

It is an amenable number.

211211102211221 is a deficient number, since it is larger than the sum of its proper divisors (44623182927211).

211211102211221 is a wasteful number, since it uses less digits than its factorization.

211211102211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404309.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211211102211221 its reverse (122112201112112), we get a palindrome (333323303323333).

The spelling of 211211102211221 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, two hundred eleven thousand, two hundred twenty-one".