102212033213117 has 2 divisors, whose sum is σ = 102212033213118. Its totient is φ = 102212033213116.

The previous prime is 102212033213107. The next prime is 102212033213141. The reversal of 102212033213117 is 711312330212201.

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., 51765305325721 + 50446727887396 = 7194811^2 + 7102586^2 .

It is an emirp because it is prime and its reverse (711312330212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212033213117 - 2⁶ = 102212033213053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102212033213117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212033213107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106016606558 + 51106016606559.

It is an arithmetic number, because the mean of its divisors is an integer number (51106016606559).

Almost surely, 2^{102212033213117} is an apocalyptic number.

It is an amenable number.

102212033213117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212033213117 is an equidigital number, since it uses as much as digits as its factorization.

102212033213117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 102212033213117 its reverse (711312330212201), we get a palindrome (813524363425318).

The spelling of 102212033213117 in words is "one hundred two trillion, two hundred twelve billion, thirty-three million, two hundred thirteen thousand, one hundred seventeen".