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122101212220213 is a prime number
BaseRepresentation
bin11011110000110011100111…
…011000011000101100110101
3121000022202120102021101200011
4123300303213120120230311
5112001001240312021323
61111404304511020221
734501343602313362
oct3360634730305465
9530282512241604
10122101212220213
11359a5919143086
1211840048b0a671
135319130683235
142221a31971469
15e1b1ecebe20d
hex6f0ce7618b35

122101212220213 has 2 divisors, whose sum is σ = 122101212220214. Its totient is φ = 122101212220212.

The previous prime is 122101212220151. The next prime is 122101212220217. The reversal of 122101212220213 is 312022212101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104877732806289 + 17223479413924 = 10240983^2 + 4150118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101212220213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101212220217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050606110106 + 61050606110107.

It is an arithmetic number, because the mean of its divisors is an integer number (61050606110107).

Almost surely, 2122101212220213 is an apocalyptic number.

It is an amenable number.

122101212220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101212220213 is an equidigital number, since it uses as much as digits as its factorization.

122101212220213 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 22.

Adding to 122101212220213 its reverse (312022212101221), we get a palindrome (434123424321434).

The spelling of 122101212220213 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, two hundred twenty thousand, two hundred thirteen".