211110113101 has 2 divisors, whose sum is σ = 211110113102. Its totient is φ = 211110113100.

The previous prime is 211110113063. The next prime is 211110113113. The reversal of 211110113101 is 101311011112.

211110113101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210745264900 + 364848201 = 459070^2 + 19101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211110113101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211110113701) 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, 105555056550 + 105555056551.

It is an arithmetic number, because the mean of its divisors is an integer number (105555056551).

Almost surely, 2^211110113101 is an apocalyptic number.

It is an amenable number.

211110113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211110113101 is an equidigital number, since it uses as much as digits as its factorization.

211110113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 211110113101 its reverse (101311011112), we get a palindrome (312421124213).

The spelling of 211110113101 in words is "two hundred eleven billion, one hundred ten million, one hundred thirteen thousand, one hundred one".