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2200122332101 is a prime number
BaseRepresentation
bin100000000001000001100…
…000101001001111000101
321210022220022022122120001
4200001001200221033011
5242021322304111401
64402420001041301
7314645040155311
oct40010140511705
97708808278501
102200122332101
117790807769a1
122b6494626231
1312c617015ab5
14786b4cd6b41
153c36c068601
hex200418293c5

2200122332101 has 2 divisors, whose sum is σ = 2200122332102. Its totient is φ = 2200122332100.

The previous prime is 2200122332099. The next prime is 2200122332131. The reversal of 2200122332101 is 1012332210022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1622377923076 + 577744409025 = 1273726^2 + 760095^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200122332101 - 21 = 2200122332099 is a prime.

Together with 2200122332099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200122332131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100061166050 + 1100061166051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100061166051).

Almost surely, 22200122332101 is an apocalyptic number.

It is an amenable number.

2200122332101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200122332101 is an equidigital number, since it uses as much as digits as its factorization.

2200122332101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2200122332101 its reverse (1012332210022), we get a palindrome (3212454542123).

The spelling of 2200122332101 in words is "two trillion, two hundred billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred one".