211102120093 has 2 divisors, whose sum is σ = 211102120094. Its totient is φ = 211102120092.

The previous prime is 211102120013. The next prime is 211102120111. The reversal of 211102120093 is 390021201112.

211102120093 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., 148948139844 + 62153980249 = 385938^2 + 249307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211102120093 is a prime.

It is a super-3 number, since 3×211102120093³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211102120013) 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, 105551060046 + 105551060047.

It is an arithmetic number, because the mean of its divisors is an integer number (105551060047).

Almost surely, 2^211102120093 is an apocalyptic number.

It is an amenable number.

211102120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

211102120093 is an equidigital number, since it uses as much as digits as its factorization.

211102120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 211102120093 in words is "two hundred eleven billion, one hundred two million, one hundred twenty thousand, ninety-three".