211221201101201 has 8 divisors (see below), whose sum is σ = 211250984337120. Its totient is φ = 211191419843712.

The previous prime is 211221201101177. The next prime is 211221201101219. The reversal of 211221201101201 is 102101102122112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211221201101201 is a prime.

It is a super-2 number, since 2×211221201101201² (a number of 29 digits) contains 22 as substring.

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 211221201101201.

It is not an unprimeable number, because it can be changed into a prime (211221201103201) 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 7 ways as a sum of consecutive naturals, for example, 219917345 + ... + 220875713.

It is an arithmetic number, because the mean of its divisors is an integer number (26406373042140).

Almost surely, 2^{211221201101201} is an apocalyptic number.

It is an amenable number.

211221201101201 is a deficient number, since it is larger than the sum of its proper divisors (29783235919).

211221201101201 is a wasteful number, since it uses less digits than its factorization.

211221201101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989215.

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

Adding to 211221201101201 its reverse (102101102122112), we get a palindrome (313322303223313).

The spelling of 211221201101201 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred one thousand, two hundred one".