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2220120100001 is a prime number
BaseRepresentation
bin100000010011101001011…
…110000100110010100001
321212020111222122111221102
4200103221132010302201
5242333301221200001
64415524210404145
7316253434324526
oct40235136046241
97766458574842
102220120100001
11786602a10a01
122ba335890655
131314830bb75b
1479650b9b14d
153cb3c9e2e6b
hex204e9784ca1

2220120100001 has 2 divisors, whose sum is σ = 2220120100002. Its totient is φ = 2220120100000.

The previous prime is 2220120099997. The next prime is 2220120100021. The reversal of 2220120100001 is 1000010210222.

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., 1599152459776 + 620967640225 = 1264576^2 + 788015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220120100001 - 22 = 2220120099997 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220120100021) 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, 1110060050000 + 1110060050001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110060050001).

Almost surely, 22220120100001 is an apocalyptic number.

It is an amenable number.

2220120100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220120100001 is an equidigital number, since it uses as much as digits as its factorization.

2220120100001 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 2220120100001 its reverse (1000010210222), we get a palindrome (3220130310223).

The spelling of 2220120100001 in words is "two trillion, two hundred twenty billion, one hundred twenty million, one hundred thousand, one".