212102112101111 has 2 divisors, whose sum is σ = 212102112101112. Its totient is φ = 212102112101110.

The previous prime is 212102112101093. The next prime is 212102112101153. The reversal of 212102112101111 is 111101211201212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212102112101111 - 2¹⁴ = 212102112084727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212102112101111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102112101161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051056050555 + 106051056050556.

It is an arithmetic number, because the mean of its divisors is an integer number (106051056050556).

Almost surely, 2^{212102112101111} is an apocalyptic number.

212102112101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102112101111 is an equidigital number, since it uses as much as digits as its factorization.

212102112101111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212102112101111 its reverse (111101211201212), we get a palindrome (323203323302323).

The spelling of 212102112101111 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, one hundred eleven".