211222211200101 has 16 divisors (see below), whose sum is σ = 312924956512320. Its totient is φ = 140813384502960.

The previous prime is 211222211199959. The next prime is 211222211200109. The reversal of 211222211200101 is 101002112222112.

211222211200101 is a `hidden beast` number, since 21 + 1 + 222 + 211 + 200 + 10 + 1 = 666.

It is not a de Polignac number, because 211222211200101 - 2¹⁴ = 211222211183717 is a prime.

It is a super-2 number, since 2×211222211200101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222211200109) 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, 36801990 + ... + 42152471.

It is an arithmetic number, because the mean of its divisors is an integer number (19557809782020).

Almost surely, 2^{211222211200101} is an apocalyptic number.

It is an amenable number.

211222211200101 is a deficient number, since it is larger than the sum of its proper divisors (101702745312219).

211222211200101 is an equidigital number, since it uses as much as digits as its factorization.

211222211200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79053553 (or 79053547 counting only the distinct ones).

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

Adding to 211222211200101 its reverse (101002112222112), we get a palindrome (312224323422213).

It can be divided in two parts, 21122221 and 1200101, that added together give a palindrome (22322322).

The spelling of 211222211200101 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred eleven million, two hundred thousand, one hundred one".