Search a number
-
+
101222021212121 is a prime number
BaseRepresentation
bin10111000000111110010110…
…100111100010011111011001
3111021101201201200211010022002
4113000332112213202133121
5101231410144412241441
6555140430554210345
730215023022102015
oct2700762647423731
9437351650733262
10101222021212121
112a286022137927
12b42960a1239b5
134463270a9b984
141add259c3d545
15ba803c8c8b9b
hex5c0f969e27d9

101222021212121 has 2 divisors, whose sum is σ = 101222021212122. Its totient is φ = 101222021212120.

The previous prime is 101222021212111. The next prime is 101222021212157. The reversal of 101222021212121 is 121212120222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79039852270096 + 22182168942025 = 8890436^2 + 4709795^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222021212121 - 222 = 101222017017817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101222021212093 and 101222021212102.

It is not a weakly prime, because it can be changed into another prime (101222021212111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611010606060 + 50611010606061.

It is an arithmetic number, because the mean of its divisors is an integer number (50611010606061).

Almost surely, 2101222021212121 is an apocalyptic number.

It is an amenable number.

101222021212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222021212121 is an equidigital number, since it uses as much as digits as its factorization.

101222021212121 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 101222021212121 its reverse (121212120222101), we get a palindrome (222434141434222).

The spelling of 101222021212121 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, two hundred twelve thousand, one hundred twenty-one".