2212112211101 has 16 divisors (see below), whose sum is σ = 2616686163840. Its totient is φ = 1850370920640.

The previous prime is 2212112211077. The next prime is 2212112211137. The reversal of 2212112211101 is 1011122112122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2212112211101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212112211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194688230 + ... + 194699591.

It is an arithmetic number, because the mean of its divisors is an integer number (163542885240).

Almost surely, 2^{2212112211101} is an apocalyptic number.

It is an amenable number.

2212112211101 is a deficient number, since it is larger than the sum of its proper divisors (404573952739).

2212112211101 is a wasteful number, since it uses less digits than its factorization.

2212112211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389387876.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2212112211101 its reverse (1011122112122), we get a palindrome (3223234323223).

The spelling of 2212112211101 in words is "two trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred one".