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122101101277 is a prime number
BaseRepresentation
bin111000110110111001…
…0101111001011011101
3102200011102202121121021
41301231302233023131
54000030340220102
6132031550204141
711551531144051
oct1615562571335
9380142677537
10122101101277
1147867985661
121b7b74b3651
13b68b59c56c
145ca43dbc61
153299689137
hex1c6dcaf2dd

122101101277 has 2 divisors, whose sum is σ = 122101101278. Its totient is φ = 122101101276.

The previous prime is 122101101197. The next prime is 122101101313. The reversal of 122101101277 is 772101101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118288532761 + 3812568516 = 343931^2 + 61746^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101101277 is a prime.

It is a super-2 number, since 2×1221011012772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101107277) 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, 61050550638 + 61050550639.

It is an arithmetic number, because the mean of its divisors is an integer number (61050550639).

Almost surely, 2122101101277 is an apocalyptic number.

It is an amenable number.

122101101277 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101101277 is an equidigital number, since it uses as much as digits as its factorization.

122101101277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 122101101277 its reverse (772101101221), we get a palindrome (894202202498).

The spelling of 122101101277 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, two hundred seventy-seven".