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220212100101121 is a prime number
BaseRepresentation
bin110010000100100000100000…
…000000000111010000000001
31001212201001220212212001222221
4302010200200000013100001
5212330423340111213441
62100204013040531041
764245541061423242
oct6204404000072001
91055631825761887
10220212100101121
1164191477653657
12208466b6920a81
1395b4bb16a411b
143c54472d9acc9
151a6d34e7de8d1
hexc84820007401

220212100101121 has 2 divisors, whose sum is σ = 220212100101122. Its totient is φ = 220212100101120.

The previous prime is 220212100101109. The next prime is 220212100101167. The reversal of 220212100101121 is 121101001212022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217811521716721 + 2400578384400 = 14758439^2 + 1549380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220212100101121 is a prime.

It is a super-2 number, since 2×2202121001011212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220212100101095 and 220212100101104.

It is not a weakly prime, because it can be changed into another prime (220212100401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110106050050560 + 110106050050561.

It is an arithmetic number, because the mean of its divisors is an integer number (110106050050561).

Almost surely, 2220212100101121 is an apocalyptic number.

It is an amenable number.

220212100101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212100101121 is an equidigital number, since it uses as much as digits as its factorization.

220212100101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220212100101121 its reverse (121101001212022), we get a palindrome (341313101313143).

The spelling of 220212100101121 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, one hundred one thousand, one hundred twenty-one".