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11222100121 is a prime number
BaseRepresentation
bin10100111001110001…
…11010100010011001
31001222002100202022211
422130320322202121
5140440324200441
65053320315121
7545044164031
oct123470724231
931862322284
1011222100121
114839645a11
122212312aa1
13109ac4bc3b
147865a68c1
1545a311a81
hex29ce3a899

11222100121 has 2 divisors, whose sum is σ = 11222100122. Its totient is φ = 11222100120.

The previous prime is 11222100083. The next prime is 11222100151. The reversal of 11222100121 is 12100122211.

11222100121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10783784025 + 438316096 = 103845^2 + 20936^2 .

It is a cyclic number.

It is not a de Polignac number, because 11222100121 - 225 = 11188545689 is a prime.

It is a super-2 number, since 2×112221001212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11222100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5611050060 + 5611050061.

It is an arithmetic number, because the mean of its divisors is an integer number (5611050061).

Almost surely, 211222100121 is an apocalyptic number.

It is an amenable number.

11222100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11222100121 is an equidigital number, since it uses as much as digits as its factorization.

11222100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11222100121 its reverse (12100122211), we get a palindrome (23322222332).

The spelling of 11222100121 in words is "eleven billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".