2121112122211 has 4 divisors (see below), whose sum is σ = 2121143206000. Its totient is φ = 2121081038424.

The previous prime is 2121112122169. The next prime is 2121112122263. The reversal of 2121112122211 is 1122212111212.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2121112122211 - 2¹⁷ = 2121111991139 is a prime.

It is a super-3 number, since 3×2121112122211³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121112122611) 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 3 ways as a sum of consecutive naturals, for example, 15439311 + ... + 15576088.

It is an arithmetic number, because the mean of its divisors is an integer number (530285801500).

Almost surely, 2^{2121112122211} is an apocalyptic number.

2121112122211 is a deficient number, since it is larger than the sum of its proper divisors (31083789).

2121112122211 is an equidigital number, since it uses as much as digits as its factorization.

2121112122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31083788.

The product of its digits is 64, while the sum is 19.

Adding to 2121112122211 its reverse (1122212111212), we get a palindrome (3243324233423).

The spelling of 2121112122211 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred eleven".