Search a number
-
+
10012233102121 is a prime number
BaseRepresentation
bin1001000110110010011110…
…0110001111001100101001
31022110011022201222020011201
42101230213212033030221
52303020023133231441
633143320102524201
72052234320114125
oct221544746171451
938404281866151
1010012233102121
113210189627778
121158530736661
135781c36972a3
14268847aa8585
15125693daac31
hex91b2798f329

10012233102121 has 2 divisors, whose sum is σ = 10012233102122. Its totient is φ = 10012233102120.

The previous prime is 10012233102073. The next prime is 10012233102197. The reversal of 10012233102121 is 12120133221001.

10012233102121 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., 10012231252521 + 1849600 = 3164211^2 + 1360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012233102121 - 237 = 9874794148649 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012233109121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006116551060 + 5006116551061.

It is an arithmetic number, because the mean of its divisors is an integer number (5006116551061).

Almost surely, 210012233102121 is an apocalyptic number.

It is an amenable number.

10012233102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012233102121 is an equidigital number, since it uses as much as digits as its factorization.

10012233102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10012233102121 its reverse (12120133221001), we get a palindrome (22132366323122).

The spelling of 10012233102121 in words is "ten trillion, twelve billion, two hundred thirty-three million, one hundred two thousand, one hundred twenty-one".