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2222201202101 is a prime number
BaseRepresentation
bin100000010101100101100…
…000110110010110110101
321212102220000121110022222
4200111211200312112311
5242402032001431401
64420510511532125
7316356134362556
oct40254540662665
97772800543288
102222201202101
117874807117a1
122ba81682a045
131317252c0a0a
14797ab32832d
153cc10575c1b
hex205658365b5

2222201202101 has 2 divisors, whose sum is σ = 2222201202102. Its totient is φ = 2222201202100.

The previous prime is 2222201202059. The next prime is 2222201202103. The reversal of 2222201202101 is 1012021022222.

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., 2125836900625 + 96364301476 = 1458025^2 + 310426^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222201202101 - 26 = 2222201202037 is a prime.

It is a Sophie Germain prime.

Together with 2222201202103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2222201202101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222201202103) 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, 1111100601050 + 1111100601051.

It is an arithmetic number, because the mean of its divisors is an integer number (1111100601051).

Almost surely, 22222201202101 is an apocalyptic number.

It is an amenable number.

2222201202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222201202101 is an equidigital number, since it uses as much as digits as its factorization.

2222201202101 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 2222201202101 its reverse (1012021022222), we get a palindrome (3234222224323).

The spelling of 2222201202101 in words is "two trillion, two hundred twenty-two billion, two hundred one million, two hundred two thousand, one hundred one".