102222201209993 has 2 divisors, whose sum is σ = 102222201209994. Its totient is φ = 102222201209992.

The previous prime is 102222201209963. The next prime is 102222201210061. The reversal of 102222201209993 is 399902102222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99145572952969 + 3076628257024 = 9957187^2 + 1754032^2 .

It is an emirp because it is prime and its reverse (399902102222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102222201209993 - 2¹⁶ = 102222201144457 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222201209963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111100604996 + 51111100604997.

It is an arithmetic number, because the mean of its divisors is an integer number (51111100604997).

Almost surely, 2^{102222201209993} is an apocalyptic number.

It is an amenable number.

102222201209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222201209993 is an equidigital number, since it uses as much as digits as its factorization.

102222201209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 102222201209993 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred one million, two hundred nine thousand, nine hundred ninety-three".