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222101011112033 is a prime number
BaseRepresentation
bin110010011111111111101011…
…110111110010000001100001
31002010101122112100011120101202
4302133333223313302001201
5213102400332321041113
62104211443531210545
764532161050204464
oct6237775367620141
91063348470146352
10222101011112033
116484a56767a749
1220ab07b72a6a55
1396c105cc44651
143cbba63b932db
151aa2554cb6258
hexc9ffebdf2061

222101011112033 has 2 divisors, whose sum is σ = 222101011112034. Its totient is φ = 222101011112032.

The previous prime is 222101011112009. The next prime is 222101011112107. The reversal of 222101011112033 is 330211110101222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214934130639424 + 7166880472609 = 14660632^2 + 2677103^2 .

It is a cyclic number.

It is not a de Polignac number, because 222101011112033 - 234 = 222083831242849 is a prime.

It is a super-2 number, since 2×2221010111120332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222101011111996 and 222101011112014.

It is not a weakly prime, because it can be changed into another prime (222101011115033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050505556016 + 111050505556017.

It is an arithmetic number, because the mean of its divisors is an integer number (111050505556017).

Almost surely, 2222101011112033 is an apocalyptic number.

It is an amenable number.

222101011112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101011112033 is an equidigital number, since it uses as much as digits as its factorization.

222101011112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 222101011112033 its reverse (330211110101222), we get a palindrome (552312121213255).

The spelling of 222101011112033 in words is "two hundred twenty-two trillion, one hundred one billion, eleven million, one hundred twelve thousand, thirty-three".