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2122200201101 is a prime number
BaseRepresentation
bin11110111000011100111…
…111010011011110001101
321111212202210002020222012
4132320130333103132031
5234232231222413401
64302531511231005
7306216046034651
oct36703477233615
97455683066865
102122200201101
11749024762622
122a3368678465
13125179520786
1474a020c6a61
153a30b1de8bb
hex1ee1cfd378d

2122200201101 has 2 divisors, whose sum is σ = 2122200201102. Its totient is φ = 2122200201100.

The previous prime is 2122200201029. The next prime is 2122200201119. The reversal of 2122200201101 is 1011020022212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1890982516900 + 231217684201 = 1375130^2 + 480851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122200201101 - 222 = 2122196006797 is a prime.

It is a super-2 number, since 2×21222002011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122200201601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061100100550 + 1061100100551.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100100551).

Almost surely, 22122200201101 is an apocalyptic number.

It is an amenable number.

2122200201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122200201101 is an equidigital number, since it uses as much as digits as its factorization.

2122200201101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122200201101 its reverse (1011020022212), we get a palindrome (3133220223313).

The spelling of 2122200201101 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, one hundred one".