20001121102217 has 2 divisors, whose sum is σ = 20001121102218. Its totient is φ = 20001121102216.

The previous prime is 20001121102177. The next prime is 20001121102223. The reversal of 20001121102217 is 71220112110002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17208733052281 + 2792388049936 = 4148341^2 + 1671044^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001121102217 - 2⁸ = 20001121101961 is a prime.

It is not a weakly prime, because it can be changed into another prime (20001121102717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000560551108 + 10000560551109.

It is an arithmetic number, because the mean of its divisors is an integer number (10000560551109).

Almost surely, 2^{20001121102217} is an apocalyptic number.

It is an amenable number.

20001121102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001121102217 is an equidigital number, since it uses as much as digits as its factorization.

20001121102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 20001121102217 its reverse (71220112110002), we get a palindrome (91221233212219).

The spelling of 20001121102217 in words is "twenty trillion, one billion, one hundred twenty-one million, one hundred two thousand, two hundred seventeen".