Search a number
-
+
10010202012121 is a prime number
BaseRepresentation
bin1001000110101010111010…
…0010001111100111011001
31022102222002012010011111011
42101222232202033213121
52303001343203341441
633142342345333521
72052133065124003
oct221525642174731
938388065104434
1010010202012121
11320a3370857a3
1211580644972a1
13577c5b955a9c
142686d4039373
151255c5906581
hex91aae88f9d9

10010202012121 has 2 divisors, whose sum is σ = 10010202012122. Its totient is φ = 10010202012120.

The previous prime is 10010202012113. The next prime is 10010202012169. The reversal of 10010202012121 is 12121020201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10009915184025 + 286828096 = 3163845^2 + 16936^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010202012121 - 23 = 10010202012113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010202052121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005101006060 + 5005101006061.

It is an arithmetic number, because the mean of its divisors is an integer number (5005101006061).

Almost surely, 210010202012121 is an apocalyptic number.

It is an amenable number.

10010202012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010202012121 is an equidigital number, since it uses as much as digits as its factorization.

10010202012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10010202012121 its reverse (12121020201001), we get a palindrome (22131222213122).

The spelling of 10010202012121 in words is "ten trillion, ten billion, two hundred two million, twelve thousand, one hundred twenty-one".