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121001100109 is a prime number
BaseRepresentation
bin111000010110000111…
…0100100001101001101
3102120022202220202200021
41300230032210031031
53440302240200414
6131330453302141
711512343244421
oct1605416441515
9376282822607
10121001100109
1147352a6a48a
121b54b034951
13b54471b1b6
145bdc29cb81
153232d02c24
hex1c2c3a434d

121001100109 has 2 divisors, whose sum is σ = 121001100110. Its totient is φ = 121001100108.

The previous prime is 121001100097. The next prime is 121001100113. The reversal of 121001100109 is 901001100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88967975625 + 32033124484 = 298275^2 + 178978^2 .

It is a cyclic number.

It is not a de Polignac number, because 121001100109 - 223 = 120992711501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121001100092 and 121001100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121001100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500550054 + 60500550055.

It is an arithmetic number, because the mean of its divisors is an integer number (60500550055).

Almost surely, 2121001100109 is an apocalyptic number.

It is an amenable number.

121001100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

121001100109 is an equidigital number, since it uses as much as digits as its factorization.

121001100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 121001100109 in words is "one hundred twenty-one billion, one million, one hundred thousand, one hundred nine".