Search a number
-
+
121012001021 is a prime number
BaseRepresentation
bin111000010110011100…
…0001001100011111101
3102120100112102120220202
41300230320021203331
53440313033013041
6131331523053245
711512535015462
oct1605470114375
9376315376822
10121012001021
11473591354aa
121b552811225
13b546a66b42
145bdd8d9669
153233c57a9b
hex1c2ce098fd

121012001021 has 2 divisors, whose sum is σ = 121012001022. Its totient is φ = 121012001020.

The previous prime is 121012001003. The next prime is 121012001029. The reversal of 121012001021 is 120100210121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109504075396 + 11507925625 = 330914^2 + 107275^2 .

It is a cyclic number.

It is not a de Polignac number, because 121012001021 - 230 = 119938259197 is a prime.

It is a super-2 number, since 2×1210120010212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121012000993 and 121012001011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121012001029) 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, 60506000510 + 60506000511.

It is an arithmetic number, because the mean of its divisors is an integer number (60506000511).

Almost surely, 2121012001021 is an apocalyptic number.

It is an amenable number.

121012001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

121012001021 is an equidigital number, since it uses as much as digits as its factorization.

121012001021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121012001021 its reverse (120100210121), we get a palindrome (241112211142).

The spelling of 121012001021 in words is "one hundred twenty-one billion, twelve million, one thousand, twenty-one".