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121122110201 is a prime number
BaseRepresentation
bin111000011001101110…
…0001011101011111001
3102120122012121201022112
41300303130023223321
53441024230011301
6131350455102105
711515342643501
oct1606334135371
9376565551275
10121122110201
1147405301124
121b583671935
13b563809ac1
145c1039ca01
15323d7579bb
hex1c3370baf9

121122110201 has 2 divisors, whose sum is σ = 121122110202. Its totient is φ = 121122110200.

The previous prime is 121122110183. The next prime is 121122110203. The reversal of 121122110201 is 102011221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118019731600 + 3102378601 = 343540^2 + 55699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121122110201 is a prime.

Together with 121122110203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121122110203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561055100 + 60561055101.

It is an arithmetic number, because the mean of its divisors is an integer number (60561055101).

Almost surely, 2121122110201 is an apocalyptic number.

It is an amenable number.

121122110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122110201 is an equidigital number, since it uses as much as digits as its factorization.

121122110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121122110201 its reverse (102011221121), we get a palindrome (223133331322).

The spelling of 121122110201 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, two hundred one".