Search a number
-
+
12101221222121 is a prime number
BaseRepresentation
bin1011000000011000100011…
…1111100000011011101001
31120211212100220122221212002
42300012020333200123221
53041231300113101441
641423120240100345
72356166354135243
oct260061077403351
946755326587762
1012101221222121
11394610a9a1189
12143536a6046b5
1369a1a9214265
142db9b8cd5093
1515eba9488b9b
hexb0188fe06e9

12101221222121 has 2 divisors, whose sum is σ = 12101221222122. Its totient is φ = 12101221222120.

The previous prime is 12101221222021. The next prime is 12101221222127. The reversal of 12101221222121 is 12122212210121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9819417624025 + 2281803598096 = 3133595^2 + 1510564^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101221222121 - 234 = 12084041352937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101221222093 and 12101221222102.

It is not a weakly prime, because it can be changed into another prime (12101221222127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050610611060 + 6050610611061.

It is an arithmetic number, because the mean of its divisors is an integer number (6050610611061).

Almost surely, 212101221222121 is an apocalyptic number.

It is an amenable number.

12101221222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101221222121 is an equidigital number, since it uses as much as digits as its factorization.

12101221222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12101221222121 its reverse (12122212210121), we get a palindrome (24223433432242).

The spelling of 12101221222121 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".