211322212101 has 48 divisors (see below), whose sum is σ = 409837034880. Its totient is φ = 101333324160.

The previous prime is 211322212063. The next prime is 211322212147. The reversal of 211322212101 is 101212223112.

It is not a de Polignac number, because 211322212101 - 2²⁷ = 211187994373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322262101) 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 47 ways as a sum of consecutive naturals, for example, 11719386 + ... + 11737403.

It is an arithmetic number, because the mean of its divisors is an integer number (8538271560).

Almost surely, 2^211322212101 is an apocalyptic number.

211322212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211322212101 is a deficient number, since it is larger than the sum of its proper divisors (198514822779).

211322212101 is a wasteful number, since it uses less digits than its factorization.

211322212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23456826 (or 23456823 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211322212101 its reverse (101212223112), we get a palindrome (312534435213).

The spelling of 211322212101 in words is "two hundred eleven billion, three hundred twenty-two million, two hundred twelve thousand, one hundred one".