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122101121141 is a prime number
BaseRepresentation
bin111000110110111001…
…0110100000001110101
3102200011102210121211222
41301231302310001311
54000030341334031
6132031550440125
711551531256006
oct1615562640165
9380142717758
10122101121141
114786799957a
121b7b7503045
13b68b5a860c
145ca44051ad
15329968ee7b
hex1c6dcb4075

122101121141 has 2 divisors, whose sum is σ = 122101121142. Its totient is φ = 122101121140.

The previous prime is 122101121119. The next prime is 122101121161. The reversal of 122101121141 is 141121101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76215197041 + 45885924100 = 276071^2 + 214210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101121141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050560570 + 61050560571.

It is an arithmetic number, because the mean of its divisors is an integer number (61050560571).

Almost surely, 2122101121141 is an apocalyptic number.

It is an amenable number.

122101121141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101121141 is an equidigital number, since it uses as much as digits as its factorization.

122101121141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122101121141 its reverse (141121101221), we get a palindrome (263222222362).

The spelling of 122101121141 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred forty-one".