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2100222222221 is a prime number
BaseRepresentation
bin11110100011111110111…
…111111101111110001101
321102210001002122020210102
4132203332333331332031
5233402223342102341
64244455003020445
7304510315223534
oct36437677757615
97383032566712
102100222222221
1173a776767812
1229b05420a725
1312308610bb46
147391923931b
15399719b0c9b
hex1e8feffdf8d

2100222222221 has 2 divisors, whose sum is σ = 2100222222222. Its totient is φ = 2100222222220.

The previous prime is 2100222222199. The next prime is 2100222222269. The reversal of 2100222222221 is 1222222220012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1727529066025 + 372693156196 = 1314355^2 + 610486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100222222221 is a prime.

It is a super-3 number, since 3×21002222222213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100222222193 and 2100222222202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100222222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050111111110 + 1050111111111.

It is an arithmetic number, because the mean of its divisors is an integer number (1050111111111).

Almost surely, 22100222222221 is an apocalyptic number.

It is an amenable number.

2100222222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100222222221 is an equidigital number, since it uses as much as digits as its factorization.

2100222222221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2100222222221 its reverse (1222222220012), we get a palindrome (3322444442233).

The spelling of 2100222222221 in words is "two trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-one".