2112011101093 has 2 divisors, whose sum is σ = 2112011101094. Its totient is φ = 2112011101092.

The previous prime is 2112011101051. The next prime is 2112011101103. The reversal of 2112011101093 is 3901011102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2029775788804 + 82235312289 = 1424702^2 + 286767^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112011101093 - 2²⁹ = 2111474230181 is a prime.

It is a super-2 number, since 2×2112011101093² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112011102093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005550546 + 1056005550547.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005550547).

Almost surely, 2^{2112011101093} is an apocalyptic number.

It is an amenable number.

2112011101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112011101093 is an equidigital number, since it uses as much as digits as its factorization.

2112011101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 2112011101093 in words is "two trillion, one hundred twelve billion, eleven million, one hundred one thousand, ninety-three".