Search a number
-
+
10212120211301 is a prime number
BaseRepresentation
bin1001010010011011000111…
…0011000010111101100101
31100011021021012211110120122
42110212301303002331211
52314303410233230201
633415214441211325
72102541600366311
oct224466163027545
940137235743518
1010212120211301
113287a326a2378
12118b216490b45
13590cca4ab358
142743aaba0b41
1512a992480e1b
hex949b1cc2f65

10212120211301 has 2 divisors, whose sum is σ = 10212120211302. Its totient is φ = 10212120211300.

The previous prime is 10212120211277. The next prime is 10212120211367. The reversal of 10212120211301 is 10311202121201.

It is a happy number.

10212120211301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10034158570276 + 177961641025 = 3167674^2 + 421855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212120211301 - 214 = 10212120194917 is a prime.

It is a super-2 number, since 2×102121202113012 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10212120211301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212120211001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060105650 + 5106060105651.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060105651).

Almost surely, 210212120211301 is an apocalyptic number.

It is an amenable number.

10212120211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212120211301 is an equidigital number, since it uses as much as digits as its factorization.

10212120211301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10212120211301 its reverse (10311202121201), we get a palindrome (20523322332502).

The spelling of 10212120211301 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, two hundred eleven thousand, three hundred one".