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121221100109 is a prime number
BaseRepresentation
bin111000011100101010…
…1110011001001001101
3102120220002212220221102
41300321111303021031
53441230100200414
6131404352512445
711520654231014
oct1607125631115
9376802786842
10121221100109
114745617276a
121b5b084b725
13b57b188905
145c1d5a9a7b
1532472acede
hex1c3957324d

121221100109 has 2 divisors, whose sum is σ = 121221100110. Its totient is φ = 121221100108.

The previous prime is 121221100069. The next prime is 121221100123. The reversal of 121221100109 is 901001122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69121668100 + 52099432009 = 262910^2 + 228253^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221100109 - 216 = 121221034573 is a prime.

It is a super-2 number, since 2×1212211001092 (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 (121221100909) 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, 60610550054 + 60610550055.

It is an arithmetic number, because the mean of its divisors is an integer number (60610550055).

Almost surely, 2121221100109 is an apocalyptic number.

It is an amenable number.

121221100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221100109 is an equidigital number, since it uses as much as digits as its factorization.

121221100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 121221100109 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred nine".