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220100221001 is a prime number
BaseRepresentation
bin1100110011111011111…
…1101101100001001001
3210001010011101201010002
43030332333231201021
512101231124033001
6245040155332345
721621201003263
oct3147677554111
9701104351102
10220100221001
11853869227a1
12367a71510b5
13179a86b707b
14a91d814b33
155ad2dda46b
hex333efed849

220100221001 has 2 divisors, whose sum is σ = 220100221002. Its totient is φ = 220100221000.

The previous prime is 220100220973. The next prime is 220100221037. The reversal of 220100221001 is 100122001022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209475559225 + 10624661776 = 457685^2 + 103076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220100221001 is a prime.

It is not a weakly prime, because it can be changed into another prime (220100251001) 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, 110050110500 + 110050110501.

It is an arithmetic number, because the mean of its divisors is an integer number (110050110501).

Almost surely, 2220100221001 is an apocalyptic number.

It is an amenable number.

220100221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100221001 is an equidigital number, since it uses as much as digits as its factorization.

220100221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220100221001 its reverse (100122001022), we get a palindrome (320222222023).

The spelling of 220100221001 in words is "two hundred twenty billion, one hundred million, two hundred twenty-one thousand, one".