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221302102001 is a prime number
BaseRepresentation
bin1100111000011010100…
…0100001011111110001
3210011012220221120220012
43032012220201133301
512111211314231001
6245355332024305
721663033554441
oct3160650413761
9704186846805
10221302102001
11859432a3782
1236a81762095
1317b3a6b9766
14a9d52b4121
155b536982bb
hex3386a217f1

221302102001 has 2 divisors, whose sum is σ = 221302102002. Its totient is φ = 221302102000.

The previous prime is 221302101997. The next prime is 221302102031. The reversal of 221302102001 is 100201203122.

It is a happy number.

221302102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145786512400 + 75515589601 = 381820^2 + 274801^2 .

It is a cyclic number.

It is not a de Polignac number, because 221302102001 - 22 = 221302101997 is a prime.

It is a super-2 number, since 2×2213021020012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221302102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110651051000 + 110651051001.

It is an arithmetic number, because the mean of its divisors is an integer number (110651051001).

Almost surely, 2221302102001 is an apocalyptic number.

It is an amenable number.

221302102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221302102001 is an equidigital number, since it uses as much as digits as its factorization.

221302102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221302102001 its reverse (100201203122), we get a palindrome (321503305123).

The spelling of 221302102001 in words is "two hundred twenty-one billion, three hundred two million, one hundred two thousand, one".