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101101211221 is a prime number
BaseRepresentation
bin101111000101000011…
…0100000111001010101
3100122221220202200001111
41132022012200321111
53124023402224341
6114240101455021
710206245054563
oct1361206407125
9318856680044
10101101211221
1139970aa841a
1217716711471
1396c29c580a
144c713d6a33
15296ac5e681
hex178a1a0e55

101101211221 has 2 divisors, whose sum is σ = 101101211222. Its totient is φ = 101101211220.

The previous prime is 101101211213. The next prime is 101101211243. The reversal of 101101211221 is 122112101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91945400625 + 9155810596 = 303225^2 + 95686^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101211221 - 23 = 101101211213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101211261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550605610 + 50550605611.

It is an arithmetic number, because the mean of its divisors is an integer number (50550605611).

Almost surely, 2101101211221 is an apocalyptic number.

It is an amenable number.

101101211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101211221 is an equidigital number, since it uses as much as digits as its factorization.

101101211221 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 13.

Adding to 101101211221 its reverse (122112101101), we get a palindrome (223213312322).

The spelling of 101101211221 in words is "one hundred one billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".