102212011122241 has 2 divisors, whose sum is σ = 102212011122242. Its totient is φ = 102212011122240.

The previous prime is 102212011122197. The next prime is 102212011122281. The reversal of 102212011122241 is 142221110212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71998619040000 + 30213392082241 = 8485200^2 + 5496671^2 .

It is an emirp because it is prime and its reverse (142221110212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212011122241 - 2⁷ = 102212011122113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212011122281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106005561120 + 51106005561121.

It is an arithmetic number, because the mean of its divisors is an integer number (51106005561121).

Almost surely, 2^{102212011122241} is an apocalyptic number.

It is an amenable number.

102212011122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212011122241 is an equidigital number, since it uses as much as digits as its factorization.

102212011122241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102212011122241 its reverse (142221110212201), we get a palindrome (244433121334442).

The spelling of 102212011122241 in words is "one hundred two trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, two hundred forty-one".