211212212101 has 16 divisors (see below), whose sum is σ = 233224201728. Its totient is φ = 189669394800.

The previous prime is 211212212089. The next prime is 211212212131. The reversal of 211212212101 is 101212212112.

211212212101 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 211212212101 - 2⁵ = 211212212069 is a prime.

It is a super-2 number, since 2×211212212101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212212131) 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, 8287360 + ... + 8312806.

It is an arithmetic number, because the mean of its divisors is an integer number (14576512608).

Almost surely, 2^211212212101 is an apocalyptic number.

It is an amenable number.

211212212101 is a deficient number, since it is larger than the sum of its proper divisors (22011989627).

211212212101 is a wasteful number, since it uses less digits than its factorization.

211212212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34632.

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

Adding to 211212212101 its reverse (101212212112), we get a palindrome (312424424213).

The spelling of 211212212101 in words is "two hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred one".