220122220210001 has 2 divisors, whose sum is σ = 220122220210002. Its totient is φ = 220122220210000.

The previous prime is 220122220209973. The next prime is 220122220210027. The reversal of 220122220210001 is 100012022221022.

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., 153566645624401 + 66555574585600 = 12392201^2 + 8158160^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122220210001 - 2¹⁸ = 220122219947857 is a prime.

It is not a weakly prime, because it can be changed into another prime (220122220210091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061110105000 + 110061110105001.

It is an arithmetic number, because the mean of its divisors is an integer number (110061110105001).

Almost surely, 2^{220122220210001} is an apocalyptic number.

It is an amenable number.

220122220210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122220210001 is an equidigital number, since it uses as much as digits as its factorization.

220122220210001 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 17.

Adding to 220122220210001 its reverse (100012022221022), we get a palindrome (320134242431023).

The spelling of 220122220210001 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, one".