2101120000093 has 2 divisors, whose sum is σ = 2101120000094. Its totient is φ = 2101120000092.

The previous prime is 2101120000079. The next prime is 2101120000099. The reversal of 2101120000093 is 3900000211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1986684612004 + 114435388089 = 1409498^2 + 338283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101120000093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101120000093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101120000099) 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, 1050560000046 + 1050560000047.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560000047).

Almost surely, 2^{2101120000093} is an apocalyptic number.

It is an amenable number.

2101120000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120000093 is an equidigital number, since it uses as much as digits as its factorization.

2101120000093 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 19.

The spelling of 2101120000093 in words is "two trillion, one hundred one billion, one hundred twenty million, ninety-three", and thus it is an aban number.