2112101012027 has 2 divisors, whose sum is σ = 2112101012028. Its totient is φ = 2112101012026.

The previous prime is 2112101012003. The next prime is 2112101012089. The reversal of 2112101012027 is 7202101012112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112101012027 - 2⁸ = 2112101011771 is a prime.

It is a super-3 number, since 3×2112101012027³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2112101042027) 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, 1056050506013 + 1056050506014.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050506014).

Almost surely, 2^{2112101012027} is an apocalyptic number.

2112101012027 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112101012027 is an equidigital number, since it uses as much as digits as its factorization.

2112101012027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2112101012027 its reverse (7202101012112), we get a palindrome (9314202024139).

The spelling of 2112101012027 in words is "two trillion, one hundred twelve billion, one hundred one million, twelve thousand, twenty-seven".