211101311300081 has 2 divisors, whose sum is σ = 211101311300082. Its totient is φ = 211101311300080.

The previous prime is 211101311300003. The next prime is 211101311300137. The reversal of 211101311300081 is 180003113101112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200079469053025 + 11021842247056 = 14144945^2 + 3319916^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101311300081 - 2¹⁸ = 211101311037937 is a prime.

It is a super-2 number, since 2×211101311300081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211101311303081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550655650040 + 105550655650041.

It is an arithmetic number, because the mean of its divisors is an integer number (105550655650041).

Almost surely, 2^{211101311300081} is an apocalyptic number.

It is an amenable number.

211101311300081 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101311300081 is an equidigital number, since it uses as much as digits as its factorization.

211101311300081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 211101311300081 its reverse (180003113101112), we get a palindrome (391104424401193).

The spelling of 211101311300081 in words is "two hundred eleven trillion, one hundred one billion, three hundred eleven million, three hundred thousand, eighty-one".