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122021112210149 is a prime number
BaseRepresentation
bin11011101111101001000001…
…000011000110001011100101
3121000001002211002222021122202
4123233221001003012023211
5111443143214211211044
61111303420341504245
734462506624415265
oct3357510103061345
9530032732867582
10122021112210149
1135974954838a59
1211828613712085
135311706903189
14221bbd38017a5
15e190b0d47c4e
hex6efa410c62e5

122021112210149 has 2 divisors, whose sum is σ = 122021112210150. Its totient is φ = 122021112210148.

The previous prime is 122021112210119. The next prime is 122021112210169. The reversal of 122021112210149 is 941012211120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94600075230049 + 27421036980100 = 9726257^2 + 5236510^2 .

It is an emirp because it is prime and its reverse (941012211120221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122021112210149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021112210119) 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, 61010556105074 + 61010556105075.

It is an arithmetic number, because the mean of its divisors is an integer number (61010556105075).

Almost surely, 2122021112210149 is an apocalyptic number.

It is an amenable number.

122021112210149 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021112210149 is an equidigital number, since it uses as much as digits as its factorization.

122021112210149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 122021112210149 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand, one hundred forty-nine".