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101120406221 is a prime number
BaseRepresentation
bin101111000101100111…
…1101111001011001101
3100200000020212212122102
41132023033233023031
53124043310444341
6114242025124445
710206600161642
oct1361317571315
9320006785572
10101120406221
113998091895a
1217721029725
1396c69866c3
144c73b91dc9
15296c7a1c9b
hex178b3ef2cd

101120406221 has 2 divisors, whose sum is σ = 101120406222. Its totient is φ = 101120406220.

The previous prime is 101120406203. The next prime is 101120406227. The reversal of 101120406221 is 122604021101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94179016996 + 6941389225 = 306886^2 + 83315^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120406221 - 214 = 101120389837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120406193 and 101120406202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120406227) 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 as a sum of consecutive naturals, namely, 50560203110 + 50560203111.

It is an arithmetic number, because the mean of its divisors is an integer number (50560203111).

Almost surely, 2101120406221 is an apocalyptic number.

It is an amenable number.

101120406221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120406221 is an equidigital number, since it uses as much as digits as its factorization.

101120406221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101120406221 its reverse (122604021101), we get a palindrome (223724427322).

The spelling of 101120406221 in words is "one hundred one billion, one hundred twenty million, four hundred six thousand, two hundred twenty-one".