211102221101 has 8 divisors (see below), whose sum is σ = 218392159608. Its totient is φ = 203914240000.

The previous prime is 211102221061. The next prime is 211102221103. The reversal of 211102221101 is 101122201112.

It can be written as a sum of positive squares in 4 ways, for example, as 1072497001 + 210029724100 = 32749^2 + 458290^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 211102221101 - 2¹⁸ = 211101958957 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 (211102221103) 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, 25485140 + ... + 25493421.

It is an arithmetic number, because the mean of its divisors is an integer number (27299019951).

Almost surely, 2^211102221101 is an apocalyptic number.

It is an amenable number.

211102221101 is a deficient number, since it is larger than the sum of its proper divisors (7289938507).

211102221101 is a wasteful number, since it uses less digits than its factorization.

211102221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50978703.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211102221101 its reverse (101122201112), we get a palindrome (312224422213).

The spelling of 211102221101 in words is "two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred one".