2110111101121 has 2 divisors, whose sum is σ = 2110111101122. Its totient is φ = 2110111101120.

The previous prime is 2110111101067. The next prime is 2110111101149. The reversal of 2110111101121 is 1211011110112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2061693939600 + 48417161521 = 1435860^2 + 220039^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110111101121 - 2¹⁵ = 2110111068353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110111101421) 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, 1055055550560 + 1055055550561.

It is an arithmetic number, because the mean of its divisors is an integer number (1055055550561).

Almost surely, 2^{2110111101121} is an apocalyptic number.

It is an amenable number.

2110111101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110111101121 is an equidigital number, since it uses as much as digits as its factorization.

2110111101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2110111101121 its reverse (1211011110112), we get a palindrome (3321122211233).

The spelling of 2110111101121 in words is "two trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".