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101212220221 = 717193124001
BaseRepresentation
bin101111001000010110…
…1111110101100111101
3100200020122122111202221
41132100231332230331
53124240312021341
6114255105045341
710212063451150
oct1362055765475
9320218574687
10101212220221
1139a187290a2
1217747926851
13970c9c2208
144c82051c97
15297588aed1
hex1790b7eb3d

101212220221 has 32 divisors (see below), whose sum is σ = 129279525120. Its totient is φ = 77352192000.

The previous prime is 101212220201. The next prime is 101212220243. The reversal of 101212220221 is 122022212101.

It is a happy number.

It is not a de Polignac number, because 101212220221 - 213 = 101212212029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212220195 and 101212220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754221 + ... + 878221.

It is an arithmetic number, because the mean of its divisors is an integer number (4039985160).

Almost surely, 2101212220221 is an apocalyptic number.

It is an amenable number.

101212220221 is a deficient number, since it is larger than the sum of its proper divisors (28067304899).

101212220221 is an equidigital number, since it uses as much as digits as its factorization.

101212220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124082 (or 124044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101212220221 its reverse (122022212101), we get a palindrome (223234432322).

The spelling of 101212220221 in words is "one hundred one billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 17 19 119 133 323 361 2261 2527 6137 6859 42959 48013 116603 124001 816221 868007 2108017 2356019 14756119 16492133 40052323 44764361 280366261 313350527 760994137 850522859 5326958959 5953660013 14458888603 101212220221