211020201221101 has 2 divisors, whose sum is σ = 211020201221102. Its totient is φ = 211020201221100.

The previous prime is 211020201221057. The next prime is 211020201221117. The reversal of 211020201221101 is 101122102020112.

It is an a-pointer prime, because the next prime (211020201221117) can be obtained adding 211020201221101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194014227352201 + 17005973868900 = 13928899^2 + 4123830^2 .

It is a cyclic number.

It is not a de Polignac number, because 211020201221101 - 2¹⁵ = 211020201188333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211020201821101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510100610550 + 105510100610551.

It is an arithmetic number, because the mean of its divisors is an integer number (105510100610551).

Almost surely, 2^{211020201221101} is an apocalyptic number.

It is an amenable number.

211020201221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020201221101 is an equidigital number, since it uses as much as digits as its factorization.

211020201221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211020201221101 its reverse (101122102020112), we get a palindrome (312142303241213).

The spelling of 211020201221101 in words is "two hundred eleven trillion, twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred one".