Search a number
-
+
121020221000201 is a prime number
BaseRepresentation
bin11011100001000100110111…
…010010001000101000001001
3120212111102100021120200221212
4123201010313102020220021
5111330243403034001301
61105215531053342505
734330264615460435
oct3341046722105011
9525442307520855
10121020221000201
1135619429844916
12116a6643197a35
13526b208acab93
1421c55a4c899c5
15ded03123e4bb
hex6e1137488a09

121020221000201 has 2 divisors, whose sum is σ = 121020221000202. Its totient is φ = 121020221000200.

The previous prime is 121020221000167. The next prime is 121020221000233. The reversal of 121020221000201 is 102000122020121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96401764033600 + 24618456966601 = 9818440^2 + 4961699^2 .

It is a cyclic number.

It is not a de Polignac number, because 121020221000201 - 238 = 120745343093257 is a prime.

It is a super-2 number, since 2×1210202210002012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121022221000201) 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, 60510110500100 + 60510110500101.

It is an arithmetic number, because the mean of its divisors is an integer number (60510110500101).

Almost surely, 2121020221000201 is an apocalyptic number.

It is an amenable number.

121020221000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121020221000201 is an equidigital number, since it uses as much as digits as its factorization.

121020221000201 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 14.

Adding to 121020221000201 its reverse (102000122020121), we get a palindrome (223020343020322).

The spelling of 121020221000201 in words is "one hundred twenty-one trillion, twenty billion, two hundred twenty-one million, two hundred one", and thus it is an aban number.