2100012121093 has 2 divisors, whose sum is σ = 2100012121094. Its totient is φ = 2100012121092.

The previous prime is 2100012121019. The next prime is 2100012121133. The reversal of 2100012121093 is 3901212100012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1692231536164 + 407780584929 = 1300858^2 + 638577^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100012121093 - 2²⁹ = 2099475250181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100012121393) 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, 1050006060546 + 1050006060547.

It is an arithmetic number, because the mean of its divisors is an integer number (1050006060547).

Almost surely, 2^{2100012121093} is an apocalyptic number.

It is an amenable number.

2100012121093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100012121093 is an equidigital number, since it uses as much as digits as its factorization.

2100012121093 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 2100012121093 in words is "two trillion, one hundred billion, twelve million, one hundred twenty-one thousand, ninety-three".