102212110201 has 2 divisors, whose sum is σ = 102212110202. Its totient is φ = 102212110200.

The previous prime is 102212110199. The next prime is 102212110223. The reversal of 102212110201 is 102011212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95619482176 + 6592628025 = 309224^2 + 81195^2 .

It is an emirp because it is prime and its reverse (102011212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212110201 - 2¹ = 102212110199 is a prime.

Together with 102212110199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102212110261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106055100 + 51106055101.

It is an arithmetic number, because the mean of its divisors is an integer number (51106055101).

Almost surely, 2^102212110201 is an apocalyptic number.

It is an amenable number.

102212110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212110201 is an equidigital number, since it uses as much as digits as its factorization.

102212110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102212110201 its reverse (102011212201), we get a palindrome (204223322402).

It can be divided in two parts, 1022121 and 10201, that multiplied together give a square (10426656321 = 102111²).

The spelling of 102212110201 in words is "one hundred two billion, two hundred twelve million, one hundred ten thousand, two hundred one".