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12200010102281 is a prime number
BaseRepresentation
bin1011000110001000100101…
…0001001011011000001001
31121012022100200101001000102
42301202021101023120021
53044341110041233111
641540335100415145
72366264423563151
oct261421121133011
947168320331012
1012200010102281
113983aa4715aa1
12145053a8474b5
136a65c0b38031
143026ab16d761
1516253c1dd13b
hexb188944b609

12200010102281 has 2 divisors, whose sum is σ = 12200010102282. Its totient is φ = 12200010102280.

The previous prime is 12200010102257. The next prime is 12200010102347. The reversal of 12200010102281 is 18220101000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7456722490000 + 4743287612281 = 2730700^2 + 2177909^2 .

It is an emirp because it is prime and its reverse (18220101000221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200010102281 is a prime.

It is a super-2 number, since 2×122000101022812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12200010108281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100005051140 + 6100005051141.

It is an arithmetic number, because the mean of its divisors is an integer number (6100005051141).

Almost surely, 212200010102281 is an apocalyptic number.

It is an amenable number.

12200010102281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200010102281 is an equidigital number, since it uses as much as digits as its factorization.

12200010102281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 12200010102281 in words is "twelve trillion, two hundred billion, ten million, one hundred two thousand, two hundred eighty-one".