211112201100101 has 6 divisors (see below), whose sum is σ = 245579499238950. Its totient is φ = 180953315228616.

The previous prime is 211112201100091. The next prime is 211112201100103. The reversal of 211112201100101 is 101001102211112.

It can be written as a sum of positive squares in only one way, i.e., 198099263151076 + 13012937949025 = 14074774^2 + 3607345^2 .

It is not a de Polignac number, because 211112201100101 - 2¹⁰ = 211112201099077 is a prime.

It is a super-2 number, since 2×211112201100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112201100103) 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 5 ways as a sum of consecutive naturals, for example, 2154206133626 + ... + 2154206133723.

It is an arithmetic number, because the mean of its divisors is an integer number (40929916539825).

Almost surely, 2^{211112201100101} is an apocalyptic number.

It is an amenable number.

211112201100101 is a deficient number, since it is larger than the sum of its proper divisors (34467298138849).

211112201100101 is an equidigital number, since it uses as much as digits as its factorization.

211112201100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308412267363 (or 4308412267356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211112201100101 its reverse (101001102211112), we get a palindrome (312113303311213).

The spelling of 211112201100101 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred one million, one hundred thousand, one hundred one".