211101010114201 has 2 divisors, whose sum is σ = 211101010114202. Its totient is φ = 211101010114200.

The previous prime is 211101010114139. The next prime is 211101010114229. The reversal of 211101010114201 is 102411010101112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206038780110601 + 5062230003600 = 14354051^2 + 2249940^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101010114201 - 2¹³ = 211101010106009 is a prime.

It is not a weakly prime, because it can be changed into another prime (211101010114231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550505057100 + 105550505057101.

It is an arithmetic number, because the mean of its divisors is an integer number (105550505057101).

Almost surely, 2^{211101010114201} is an apocalyptic number.

It is an amenable number.

211101010114201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101010114201 is an equidigital number, since it uses as much as digits as its factorization.

211101010114201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211101010114201 its reverse (102411010101112), we get a palindrome (313512020215313).

The spelling of 211101010114201 in words is "two hundred eleven trillion, one hundred one billion, ten million, one hundred fourteen thousand, two hundred one".