2101110122093 has 2 divisors, whose sum is σ = 2101110122094. Its totient is φ = 2101110122092.

The previous prime is 2101110122057. The next prime is 2101110122141. The reversal of 2101110122093 is 3902210111012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1956647035204 + 144463086889 = 1398802^2 + 380083^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101110122093 - 2¹⁶ = 2101110056557 is a prime.

It is a super-3 number, since 3×2101110122093³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101110122593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555061046 + 1050555061047.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555061047).

Almost surely, 2^{2101110122093} is an apocalyptic number.

It is an amenable number.

2101110122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101110122093 is an equidigital number, since it uses as much as digits as its factorization.

2101110122093 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 23.

The spelling of 2101110122093 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, ninety-three".