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122122011012109 is a prime number
BaseRepresentation
bin11011110001000110111111…
…000101011110110000001101
3121000101202020220212111101221
4123301012333011132300031
5112001321334304341414
61111422024413203341
734503011164162543
oct3361067705366015
9530352226774357
10122122011012109
1135a03721558299
1211844092490551
13531b0966a9ba4
142222a45d89d93
15e1ba18e24224
hex6f11bf15ec0d

122122011012109 has 2 divisors, whose sum is σ = 122122011012110. Its totient is φ = 122122011012108.

The previous prime is 122122011012107. The next prime is 122122011012121. The reversal of 122122011012109 is 901210110221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104251818902884 + 17870192109225 = 10210378^2 + 4227315^2 .

It is an emirp because it is prime and its reverse (901210110221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122122011012109 - 21 = 122122011012107 is a prime.

Together with 122122011012107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122011012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061005506054 + 61061005506055.

It is an arithmetic number, because the mean of its divisors is an integer number (61061005506055).

Almost surely, 2122122011012109 is an apocalyptic number.

It is an amenable number.

122122011012109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122011012109 is an equidigital number, since it uses as much as digits as its factorization.

122122011012109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 122122011012109 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, twelve thousand, one hundred nine".