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220101112081 is a prime number
BaseRepresentation
bin1100110011111100001…
…1000111000100010001
3210001010020001222110001
43030333003013010101
512101231341041311
6245040230410001
721621211404214
oct3147703070421
9701106058401
10220101112081
1185387381224
12367a7500901
13179a8939836
14a91d9a777b
155ad30144c1
hex333f0c7111

220101112081 has 2 divisors, whose sum is σ = 220101112082. Its totient is φ = 220101112080.

The previous prime is 220101112079. The next prime is 220101112123. The reversal of 220101112081 is 180211101022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218813450625 + 1287661456 = 467775^2 + 35884^2 .

It is a cyclic number.

It is not a de Polignac number, because 220101112081 - 21 = 220101112079 is a prime.

It is a super-2 number, since 2×2201011120812 (a number of 23 digits) contains 22 as substring.

Together with 220101112079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (220101112181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050556040 + 110050556041.

It is an arithmetic number, because the mean of its divisors is an integer number (110050556041).

Almost surely, 2220101112081 is an apocalyptic number.

It is an amenable number.

220101112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

220101112081 is an equidigital number, since it uses as much as digits as its factorization.

220101112081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 220101112081 in words is "two hundred twenty billion, one hundred one million, one hundred twelve thousand, eighty-one".