Search a number
-
+
1222212122101 is a prime number
BaseRepresentation
bin10001110010010001100…
…001001111010111110101
311022211202001201211021101
4101302101201033113311
5130011042300401401
62333250531250101
7154205361424345
oct21622141172765
94284661654241
101222212122101
114313789751a3
12178a58449931
138b33c379719
1443226524d25
1521bd4c6a101
hex11c9184f5f5

1222212122101 has 2 divisors, whose sum is σ = 1222212122102. Its totient is φ = 1222212122100.

The previous prime is 1222212122099. The next prime is 1222212122107. The reversal of 1222212122101 is 1012212122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1144630375876 + 77581746225 = 1069874^2 + 278535^2 .

It is a cyclic number.

It is not a de Polignac number, because 1222212122101 - 21 = 1222212122099 is a prime.

Together with 1222212122099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1222212122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611106061050 + 611106061051.

It is an arithmetic number, because the mean of its divisors is an integer number (611106061051).

Almost surely, 21222212122101 is an apocalyptic number.

It is an amenable number.

1222212122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222212122101 is an equidigital number, since it uses as much as digits as its factorization.

1222212122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1222212122101 its reverse (1012212122221), we get a palindrome (2234424244322).

The spelling of 1222212122101 in words is "one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".