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122211011222221 is a prime number
BaseRepresentation
bin11011110010011001110111…
…111010010101101011001101
3121000201020222111110121122011
4123302121313322111223031
5112004301122333102341
61111530544040421221
734512311533402015
oct3362316772255315
9530636874417564
10122211011222221
1135a38442889449
1211859390477811
1353265ab3367cc
14222708a192c45
15e1dec7611b81
hex6f2677e95acd

122211011222221 has 2 divisors, whose sum is σ = 122211011222222. Its totient is φ = 122211011222220.

The previous prime is 122211011222213. The next prime is 122211011222233. The reversal of 122211011222221 is 122222110112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73729939984996 + 48481071237225 = 8586614^2 + 6962835^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211011222221 - 23 = 122211011222213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122211011222192 and 122211011222201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122211011222281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105505611110 + 61105505611111.

It is an arithmetic number, because the mean of its divisors is an integer number (61105505611111).

Almost surely, 2122211011222221 is an apocalyptic number.

It is an amenable number.

122211011222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211011222221 is an equidigital number, since it uses as much as digits as its factorization.

122211011222221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122211011222221 its reverse (122222110112221), we get a palindrome (244433121334442).

The spelling of 122211011222221 in words is "one hundred twenty-two trillion, two hundred eleven billion, eleven million, two hundred twenty-two thousand, two hundred twenty-one".