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221101121089 is a prime number
BaseRepresentation
bin1100110111101010100…
…1110101111001000001
3210010200220202200220201
43031322221311321001
512110303341333324
6245323352205201
721655043343322
oct3157251657101
9703626680821
10221101121089
118584a900852
1236a26399801
1317b07b7ab44
14a9b6718449
155b40be8444
hex337aa75e41

221101121089 has 2 divisors, whose sum is σ = 221101121090. Its totient is φ = 221101121088.

The previous prime is 221101121053. The next prime is 221101121179. The reversal of 221101121089 is 980121101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194529513025 + 26571608064 = 441055^2 + 163008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221101121089 is a prime.

It is not a weakly prime, because it can be changed into another prime (221101121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550560544 + 110550560545.

It is an arithmetic number, because the mean of its divisors is an integer number (110550560545).

Almost surely, 2221101121089 is an apocalyptic number.

It is an amenable number.

221101121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101121089 is an equidigital number, since it uses as much as digits as its factorization.

221101121089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 221101121089 in words is "two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, eighty-nine".