201122221120001 has 2 divisors, whose sum is σ = 201122221120002. Its totient is φ = 201122221120000.

The previous prime is 201122221119971. The next prime is 201122221120003. The reversal of 201122221120001 is 100021122221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101134700730625 + 99987520389376 = 10056575^2 + 9999376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201122221120001 is a prime.

Together with 201122221120003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (201122221120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561110560000 + 100561110560001.

It is an arithmetic number, because the mean of its divisors is an integer number (100561110560001).

Almost surely, 2^{201122221120001} is an apocalyptic number.

It is an amenable number.

201122221120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122221120001 is an equidigital number, since it uses as much as digits as its factorization.

201122221120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201122221120001 its reverse (100021122221102), we get a palindrome (301143343341103).

The spelling of 201122221120001 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, one".