2112101011 has 2 divisors, whose sum is σ = 2112101012. Its totient is φ = 2112101010.

The previous prime is 2112100997. The next prime is 2112101023. The reversal of 2112101011 is 1101012112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112101011 - 2⁵ = 2112100979 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050505 + 1056050506.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050506).

Almost surely, 2^2112101011 is an apocalyptic number.

2112101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112101011 is an equidigital number, since it uses as much as digits as its factorization.

2112101011 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 10.

The square root of 2112101011 is about 45957.6001440458. The cubic root of 2112101011 is about 1283.0341859810.

Adding to 2112101011 its reverse (1101012112), we get a palindrome (3213113123).

The spelling of 2112101011 in words is "two billion, one hundred twelve million, one hundred one thousand, eleven".