220022002122001 has 2 divisors, whose sum is σ = 220022002122002. Its totient is φ = 220022002122000.

The previous prime is 220022002121963. The next prime is 220022002122023. The reversal of 220022002122001 is 100221200220022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119319793689600 + 100702208432401 = 10923360^2 + 10035049^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022002122001 - 2⁹ = 220022002121489 is a prime.

It is not a weakly prime, because it can be changed into another prime (220022002122031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011001061000 + 110011001061001.

It is an arithmetic number, because the mean of its divisors is an integer number (110011001061001).

Almost surely, 2^{220022002122001} is an apocalyptic number.

It is an amenable number.

220022002122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022002122001 is an equidigital number, since it uses as much as digits as its factorization.

220022002122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220022002122001 its reverse (100221200220022), we get a palindrome (320243202342023).

The spelling of 220022002122001 in words is "two hundred twenty trillion, twenty-two billion, two million, one hundred twenty-two thousand, one".