102201111122233 has 2 divisors, whose sum is σ = 102201111122234. Its totient is φ = 102201111122232.

The previous prime is 102201111122191. The next prime is 102201111122321. The reversal of 102201111122233 is 332221111102201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99559146952489 + 2641964169744 = 9977933^2 + 1625412^2 .

It is an emirp because it is prime and its reverse (332221111102201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201111122233 is a prime.

It is a super-3 number, since 3×102201111122233³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102201111125233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100555561116 + 51100555561117.

It is an arithmetic number, because the mean of its divisors is an integer number (51100555561117).

Almost surely, 2^{102201111122233} is an apocalyptic number.

It is an amenable number.

102201111122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201111122233 is an equidigital number, since it uses as much as digits as its factorization.

102201111122233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102201111122233 its reverse (332221111102201), we get a palindrome (434422222224434).

The spelling of 102201111122233 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, two hundred thirty-three".