211201011110101 has 2 divisors, whose sum is σ = 211201011110102. Its totient is φ = 211201011110100.

The previous prime is 211201011110083. The next prime is 211201011110137. The reversal of 211201011110101 is 101011110102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128764598807601 + 82436412302500 = 11347449^2 + 9079450^2 .

It is a cyclic number.

It is not a de Polignac number, because 211201011110101 - 2¹⁵ = 211201011077333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211201011110801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105600505555050 + 105600505555051.

It is an arithmetic number, because the mean of its divisors is an integer number (105600505555051).

Almost surely, 2^{211201011110101} is an apocalyptic number.

It is an amenable number.

211201011110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211201011110101 is an equidigital number, since it uses as much as digits as its factorization.

211201011110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211201011110101 its reverse (101011110102112), we get a palindrome (312212121212213).

The spelling of 211201011110101 in words is "two hundred eleven trillion, two hundred one billion, eleven million, one hundred ten thousand, one hundred one".