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122334110221 is a prime number
BaseRepresentation
bin111000111101110101…
…1100110001000001101
3102200202200012200210011
41301323223212020031
54001020013011341
6132111032313221
711560360531321
oct1617353461015
9380680180704
10122334110221
1147977463734
121b861542811
13b6c794328b
145cc7333981
1532aed63b81
hex1c7bae620d

122334110221 has 2 divisors, whose sum is σ = 122334110222. Its totient is φ = 122334110220.

The previous prime is 122334110203. The next prime is 122334110231. The reversal of 122334110221 is 122011433221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118397928100 + 3936182121 = 344090^2 + 62739^2 .

It is an emirp because it is prime and its reverse (122011433221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122334110221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122334110192 and 122334110201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122334110231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61167055110 + 61167055111.

It is an arithmetic number, because the mean of its divisors is an integer number (61167055111).

Almost surely, 2122334110221 is an apocalyptic number.

It is an amenable number.

122334110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122334110221 is an equidigital number, since it uses as much as digits as its factorization.

122334110221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122334110221 its reverse (122011433221), we get a palindrome (244345543442).

The spelling of 122334110221 in words is "one hundred twenty-two billion, three hundred thirty-four million, one hundred ten thousand, two hundred twenty-one".