Search a number
-
+
121120112120201 is a prime number
BaseRepresentation
bin11011100010100001111001…
…010000100001000110001001
3120212211222011212100100220222
4123202201321100201012021
5111333412442200321301
61105333451130555425
734340432201130515
oct3342417120410611
9525758155310828
10121120112120201
1135657829773847
1211701a80598b75
135277767ba7c8c
1421ca35d687145
15e0092ab1d31b
hex6e2879421189

121120112120201 has 2 divisors, whose sum is σ = 121120112120202. Its totient is φ = 121120112120200.

The previous prime is 121120112120171. The next prime is 121120112120207. The reversal of 121120112120201 is 102021211021121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61053892062601 + 60066220057600 = 7813699^2 + 7750240^2 .

It is a cyclic number.

It is not a de Polignac number, because 121120112120201 - 214 = 121120112103817 is a prime.

It is a super-2 number, since 2×1211201121202012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121120112120201.

It is not a weakly prime, because it can be changed into another prime (121120112120207) 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, 60560056060100 + 60560056060101.

It is an arithmetic number, because the mean of its divisors is an integer number (60560056060101).

Almost surely, 2121120112120201 is an apocalyptic number.

It is an amenable number.

121120112120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

121120112120201 is an equidigital number, since it uses as much as digits as its factorization.

121120112120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121120112120201 its reverse (102021211021121), we get a palindrome (223141323141322).

The spelling of 121120112120201 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty thousand, two hundred one".