201022220112001 has 2 divisors, whose sum is σ = 201022220112002. Its totient is φ = 201022220112000.

The previous prime is 201022220111989. The next prime is 201022220112017. The reversal of 201022220112001 is 100211022220102.

It is a happy number.

It is an a-pointer prime, because the next prime (201022220112017) can be obtained adding 201022220112001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137949159270976 + 63073060841025 = 11745176^2 + 7941855^2 .

It is a cyclic number.

It is not a de Polignac number, because 201022220112001 - 2¹⁷ = 201022219980929 is a prime.

It is not a weakly prime, because it can be changed into another prime (201022220112031) 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, 100511110056000 + 100511110056001.

It is an arithmetic number, because the mean of its divisors is an integer number (100511110056001).

Almost surely, 2^{201022220112001} is an apocalyptic number.

It is an amenable number.

201022220112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201022220112001 is an equidigital number, since it uses as much as digits as its factorization.

201022220112001 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 16.

Adding to 201022220112001 its reverse (100211022220102), we get a palindrome (301233242332103).

The spelling of 201022220112001 in words is "two hundred one trillion, twenty-two billion, two hundred twenty million, one hundred twelve thousand, one".