2112012122211 has 80 divisors (see below), whose sum is σ = 3244179612960. Its totient is φ = 1368877708800.

The previous prime is 2112012122201. The next prime is 2112012122221. The reversal of 2112012122211 is 1122212102112.

2112012122211 is a `hidden beast` number, since 211 + 20 + 1 + 212 + 221 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2112012122201) and next prime (2112012122221).

It is not a de Polignac number, because 2112012122211 - 2¹⁰ = 2112012121187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112012122201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136754056 + ... + 136769498.

It is an arithmetic number, because the mean of its divisors is an integer number (40552245162).

Almost surely, 2^{2112012122211} is an apocalyptic number.

2112012122211 is a deficient number, since it is larger than the sum of its proper divisors (1132167490749).

2112012122211 is a wasteful number, since it uses less digits than its factorization.

2112012122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112012122211 its reverse (1122212102112), we get a palindrome (3234224224323).

The spelling of 2112012122211 in words is "two trillion, one hundred twelve billion, twelve million, one hundred twenty-two thousand, two hundred eleven".