Search a number
-
+
12211212102101 is a prime number
BaseRepresentation
bin1011000110110010010011…
…1101011010100111010101
31121020101021100220120220122
42301230210331122213111
53100032030244231401
641545430422241325
72400142135162565
oct261544475324725
947211240816818
1012211212102101
113988822982291
121452746286245
136a7687869cac
14303050bc2da5
1516299587e21b
hexb1b24f5a9d5

12211212102101 has 2 divisors, whose sum is σ = 12211212102102. Its totient is φ = 12211212102100.

The previous prime is 12211212102059. The next prime is 12211212102113. The reversal of 12211212102101 is 10120121211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8771489188900 + 3439722913201 = 2961670^2 + 1854649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211212102101 is a prime.

It is a super-2 number, since 2×122112121021012 (a number of 27 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 12211212102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211212102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105606051050 + 6105606051051.

It is an arithmetic number, because the mean of its divisors is an integer number (6105606051051).

Almost surely, 212211212102101 is an apocalyptic number.

It is an amenable number.

12211212102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211212102101 is an equidigital number, since it uses as much as digits as its factorization.

12211212102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 12211212102101 its reverse (10120121211221), we get a palindrome (22331333313322).

The spelling of 12211212102101 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred one".