20102202202241 has 2 divisors, whose sum is σ = 20102202202242. Its totient is φ = 20102202202240.

The previous prime is 20102202202169. The next prime is 20102202202289. The reversal of 20102202202241 is 14220220220102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18607705732225 + 1494496470016 = 4313665^2 + 1222496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20102202202241 is a prime.

It is not a weakly prime, because it can be changed into another prime (20102202204241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051101101120 + 10051101101121.

It is an arithmetic number, because the mean of its divisors is an integer number (10051101101121).

Almost surely, 2^{20102202202241} is an apocalyptic number.

It is an amenable number.

20102202202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102202202241 is an equidigital number, since it uses as much as digits as its factorization.

20102202202241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20102202202241 its reverse (14220220220102), we get a palindrome (34322422422343).

The spelling of 20102202202241 in words is "twenty trillion, one hundred two billion, two hundred two million, two hundred two thousand, two hundred forty-one".