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222112010010101 is a prime number
BaseRepresentation
bin110010100000001001111011…
…011101001111110111110101
31002010102200220212112111001212
4302200021323131033313311
5213103040344030310401
62104220503155531205
764533030444250631
oct6240117335176765
91063380825474055
10222112010010101
11648541a1225652
1220ab29668b9b05
1396c20c3874563
143cbc3c8857dc1
151aa299a6d8dbb
hexca027b74fdf5

222112010010101 has 2 divisors, whose sum is σ = 222112010010102. Its totient is φ = 222112010010100.

The previous prime is 222112010010097. The next prime is 222112010010119. The reversal of 222112010010101 is 101010010211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204277014087601 + 17834995922500 = 14292551^2 + 4223150^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112010010101 - 22 = 222112010010097 is a prime.

It is a super-2 number, since 2×2221120100101012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112010010131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056005005050 + 111056005005051.

It is an arithmetic number, because the mean of its divisors is an integer number (111056005005051).

Almost surely, 2222112010010101 is an apocalyptic number.

It is an amenable number.

222112010010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112010010101 is an equidigital number, since it uses as much as digits as its factorization.

222112010010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 222112010010101 its reverse (101010010211222), we get a palindrome (323122020221323).

The spelling of 222112010010101 in words is "two hundred twenty-two trillion, one hundred twelve billion, ten million, ten thousand, one hundred one".