211020012111101 has 2 divisors, whose sum is σ = 211020012111102. Its totient is φ = 211020012111100.

The previous prime is 211020012111091. The next prime is 211020012111191. The reversal of 211020012111101 is 101111210020112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188888877379225 + 22131134731876 = 13743685^2 + 4704374^2 .

It is a cyclic number.

It is not a de Polignac number, because 211020012111101 - 2¹⁰ = 211020012110077 is a prime.

It is a super-2 number, since 2×211020012111101² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211020012111191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510006055550 + 105510006055551.

It is an arithmetic number, because the mean of its divisors is an integer number (105510006055551).

Almost surely, 2^{211020012111101} is an apocalyptic number.

It is an amenable number.

211020012111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020012111101 is an equidigital number, since it uses as much as digits as its factorization.

211020012111101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211020012111101 its reverse (101111210020112), we get a palindrome (312131222131213).

The spelling of 211020012111101 in words is "two hundred eleven trillion, twenty billion, twelve million, one hundred eleven thousand, one hundred one".