2212112212101 has 24 divisors (see below), whose sum is σ = 3488302718784. Its totient is φ = 1339693244160.

The previous prime is 2212112211989. The next prime is 2212112212103. The reversal of 2212112212101 is 1012122112122.

2212112212101 is a `hidden beast` number, since 2 + 21 + 211 + 221 + 210 + 1 = 666.

It is not a de Polignac number, because 2212112212101 - 2¹⁰ = 2212112211077 is a prime.

It is a super-2 number, since 2×2212112212101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8037516 + ... + 8308181.

It is an arithmetic number, because the mean of its divisors is an integer number (145345946616).

Almost surely, 2^{2212112212101} is an apocalyptic number.

It is an amenable number.

2212112212101 is a deficient number, since it is larger than the sum of its proper divisors (1276190506683).

2212112212101 is a wasteful number, since it uses less digits than its factorization.

2212112212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347081 (or 16347078 counting only the distinct ones).

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

Adding to 2212112212101 its reverse (1012122112122), we get a palindrome (3224234324223).

The spelling of 2212112212101 in words is "two trillion, two hundred twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred one".