211122212101 has 16 divisors (see below), whose sum is σ = 224720516160. Its totient is φ = 197656992000.

The previous prime is 211122212089. The next prime is 211122212117. The reversal of 211122212101 is 101212221112.

211122212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211122212101 - 2⁵ = 211122212069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326695 + ... + 3389563.

It is an arithmetic number, because the mean of its divisors is an integer number (14045032260).

Almost surely, 2^211122212101 is an apocalyptic number.

It is an amenable number.

211122212101 is a deficient number, since it is larger than the sum of its proper divisors (13598304059).

211122212101 is a wasteful number, since it uses less digits than its factorization.

211122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63924.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122212101 its reverse (101212221112), we get a palindrome (312334433213).

The spelling of 211122212101 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, one hundred one".