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101222322221 is a prime number
BaseRepresentation
bin101111001000101010…
…0100001000000101101
3100200021100122202010002
41132101110201000231
53124300403302341
6114300105354045
710212245354066
oct1362124410055
9320240582102
10101222322221
1139a233a8959
121774b198925
139711b1b327
144c8352156d
1529766d429b
hex179152102d

101222322221 has 2 divisors, whose sum is σ = 101222322222. Its totient is φ = 101222322220.

The previous prime is 101222322203. The next prime is 101222322239. The reversal of 101222322221 is 122223222101.

It is a balanced prime because it is at equal distance from previous prime (101222322203) and next prime (101222322239).

It can be written as a sum of positive squares in only one way, i.e., 101115096196 + 107226025 = 317986^2 + 10355^2 .

It is an emirp because it is prime and its reverse (122223222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101222322221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222322193 and 101222322202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222322241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611161110 + 50611161111.

It is an arithmetic number, because the mean of its divisors is an integer number (50611161111).

Almost surely, 2101222322221 is an apocalyptic number.

It is an amenable number.

101222322221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222322221 is an equidigital number, since it uses as much as digits as its factorization.

101222322221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101222322221 its reverse (122223222101), we get a palindrome (223445544322).

The spelling of 101222322221 in words is "one hundred one billion, two hundred twenty-two million, three hundred twenty-two thousand, two hundred twenty-one".