211121111020201 has 2 divisors, whose sum is σ = 211121111020202. Its totient is φ = 211121111020200.

The previous prime is 211121111020199. The next prime is 211121111020229. The reversal of 211121111020201 is 102020111121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210564332397225 + 556778622976 = 14510835^2 + 746176^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121111020201 - 2¹ = 211121111020199 is a prime.

It is a super-2 number, since 2×211121111020201² (a number of 29 digits) contains 22 as substring.

Together with 211121111020199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211121111020801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560555510100 + 105560555510101.

It is an arithmetic number, because the mean of its divisors is an integer number (105560555510101).

Almost surely, 2^{211121111020201} is an apocalyptic number.

It is an amenable number.

211121111020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121111020201 is an equidigital number, since it uses as much as digits as its factorization.

211121111020201 is an evil number, because the sum of its binary digits is even.

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

Adding to 211121111020201 its reverse (102020111121112), we get a palindrome (313141222141313).

The spelling of 211121111020201 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, two hundred one".