102212111 has 2 divisors, whose sum is σ = 102212112. Its totient is φ = 102212110.

The previous prime is 102212107. The next prime is 102212113. The reversal of 102212111 is 111212201.

It is a strong prime.

It is an emirp because it is prime and its reverse (111212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212111 - 2² = 102212107 is a prime.

It is a super-3 number, since 3×102212111³ (a number of 25 digits) contains 333 as substring.

Together with 102212113, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212092 and 102212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106055 + 51106056.

It is an arithmetic number, because the mean of its divisors is an integer number (51106056).

Almost surely, 2^102212111 is an apocalyptic number.

102212111 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212111 is an equidigital number, since it uses as much as digits as its factorization.

102212111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 102212111 is about 10110.0005440158. Note that the first 3 decimals coincide. The cubic root of 102212111 is about 467.5565219011.

Subtracting from 102212111 its sum of digits (11), we obtain a square (102212100 = 10110²).

Adding to 102212111 its reverse (111212201), we get a palindrome (213424312).

The spelling of 102212111 in words is "one hundred two million, two hundred twelve thousand, one hundred eleven".