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12210200081 is a prime number
BaseRepresentation
bin10110101111100100…
…01101111000010001
31011111221122102122122
423113302031320101
5200001302400311
65335334544025
7611402662652
oct132762157021
934457572578
1012210200081
1151a6381052
122449208015
1311c7880781
1483b8d7529
154b6e420db
hex2d7c8de11

12210200081 has 2 divisors, whose sum is σ = 12210200082. Its totient is φ = 12210200080.

The previous prime is 12210200069. The next prime is 12210200083. The reversal of 12210200081 is 18000201221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11977332481 + 232867600 = 109441^2 + 15260^2 .

It is an emirp because it is prime and its reverse (18000201221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210200081 is a prime.

It is a super-2 number, since 2×122102000812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 12210200083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12210200083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105100040 + 6105100041.

It is an arithmetic number, because the mean of its divisors is an integer number (6105100041).

Almost surely, 212210200081 is an apocalyptic number.

It is an amenable number.

12210200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210200081 is an equidigital number, since it uses as much as digits as its factorization.

12210200081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 12210200081 in words is "twelve billion, two hundred ten million, two hundred thousand, eighty-one".