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2211101111201 is a prime number
BaseRepresentation
bin100000001011001111111…
…001010111001110100001
321211101020102211102012012
4200023033321113032201
5242211313341024301
64411433230242305
7315514101225533
oct40131771271641
97741212742165
102211101111201
117827a4a30154
122b8639356395
131306767203a8
1479037041853
153c7b0d14ebb
hex202cfe573a1

2211101111201 has 2 divisors, whose sum is σ = 2211101111202. Its totient is φ = 2211101111200.

The previous prime is 2211101111189. The next prime is 2211101111209. The reversal of 2211101111201 is 1021111011122.

2211101111201 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., 2046476163601 + 164624947600 = 1430551^2 + 405740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211101111201 - 234 = 2193921242017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211101111209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550555600 + 1105550555601.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550555601).

Almost surely, 22211101111201 is an apocalyptic number.

It is an amenable number.

2211101111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211101111201 is an equidigital number, since it uses as much as digits as its factorization.

2211101111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2211101111201 its reverse (1021111011122), we get a palindrome (3232212122323).

The spelling of 2211101111201 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred eleven thousand, two hundred one".