211221121102211 has 16 divisors (see below), whose sum is σ = 240555531823200. Its totient is φ = 183696951513600.

The previous prime is 211221121102207. The next prime is 211221121102219. The reversal of 211221121102211 is 112201121122112.

It is a happy number.

It is not a de Polignac number, because 211221121102211 - 2² = 211221121102207 is a prime.

It is a super-2 number, since 2×211221121102211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221121102219) 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 15 ways as a sum of consecutive naturals, for example, 3037282550 + ... + 3037352091.

It is an arithmetic number, because the mean of its divisors is an integer number (15034720738950).

Almost surely, 2^{211221121102211} is an apocalyptic number.

211221121102211 is a deficient number, since it is larger than the sum of its proper divisors (29334410720989).

211221121102211 is a wasteful number, since it uses less digits than its factorization.

211221121102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074634790.

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

Adding to 211221121102211 its reverse (112201121122112), we get a palindrome (323422242224323).

The spelling of 211221121102211 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, two hundred eleven".