212101112011123 has 2 divisors, whose sum is σ = 212101112011124. Its totient is φ = 212101112011122.

The previous prime is 212101112011073. The next prime is 212101112011127. The reversal of 212101112011123 is 321110211101212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212101112011123 - 2³⁷ = 211963673057651 is a prime.

It is a super-2 number, since 2×212101112011123² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212101112011123.

It is not a weakly prime, because it can be changed into another prime (212101112011127) 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, 106050556005561 + 106050556005562.

It is an arithmetic number, because the mean of its divisors is an integer number (106050556005562).

Almost surely, 2^{212101112011123} is an apocalyptic number.

212101112011123 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101112011123 is an equidigital number, since it uses as much as digits as its factorization.

212101112011123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 212101112011123 its reverse (321110211101212), we get a palindrome (533211323112335).

The spelling of 212101112011123 in words is "two hundred twelve trillion, one hundred one billion, one hundred twelve million, eleven thousand, one hundred twenty-three".