220009608001 has 2 divisors, whose sum is σ = 220009608002. Its totient is φ = 220009608000.

The previous prime is 220009607981. The next prime is 220009608029. The reversal of 220009608001 is 100806900022.

It is a happy number.

It is an a-pointer prime, because the next prime (220009608029) can be obtained adding 220009608001 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176589050625 + 43420557376 = 420225^2 + 208376^2 .

It is a cyclic number.

It is not a de Polignac number, because 220009608001 - 2¹⁹ = 220009083713 is a prime.

It is a super-2 number, since 2×220009608001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220009608901) 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, 110004804000 + 110004804001.

It is an arithmetic number, because the mean of its divisors is an integer number (110004804001).

Almost surely, 2^220009608001 is an apocalyptic number.

It is an amenable number.

220009608001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220009608001 is an equidigital number, since it uses as much as digits as its factorization.

220009608001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 220009608001 in words is "two hundred twenty billion, nine million, six hundred eight thousand, one".