21211211011093 has 2 divisors, whose sum is σ = 21211211011094. Its totient is φ = 21211211011092.

The previous prime is 21211211011087. The next prime is 21211211011139. The reversal of 21211211011093 is 39011011211212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20356357287204 + 854853723889 = 4511802^2 + 924583^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211211011093 - 2²⁹ = 21210674140181 is a prime.

It is a super-2 number, since 2×21211211011093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211211014093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605605505546 + 10605605505547.

It is an arithmetic number, because the mean of its divisors is an integer number (10605605505547).

Almost surely, 2^{21211211011093} is an apocalyptic number.

It is an amenable number.

21211211011093 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211211011093 is an equidigital number, since it uses as much as digits as its factorization.

21211211011093 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 25.

The spelling of 21211211011093 in words is "twenty-one trillion, two hundred eleven billion, two hundred eleven million, eleven thousand, ninety-three".