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12221020202081 is a prime number
BaseRepresentation
bin1011000111010110110110…
…0100010110010001100001
31121021022120220120200200212
42301311231210112101201
53100212122132431311
641554131552023505
72400640162514345
oct261655544262141
947238526520625
1012221020202081
1139919a6336a39
121454622b31b95
136a858b877c52
14303701671625
15162d6b982c8b
hexb1d6d916461

12221020202081 has 2 divisors, whose sum is σ = 12221020202082. Its totient is φ = 12221020202080.

The previous prime is 12221020202057. The next prime is 12221020202107. The reversal of 12221020202081 is 18020202012221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8249768362081 + 3971251840000 = 2872241^2 + 1992800^2 .

It is an emirp because it is prime and its reverse (18020202012221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12221020202081 - 222 = 12221016007777 is a prime.

It is a super-2 number, since 2×122210202020812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12421020202081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110510101040 + 6110510101041.

It is an arithmetic number, because the mean of its divisors is an integer number (6110510101041).

Almost surely, 212221020202081 is an apocalyptic number.

It is an amenable number.

12221020202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221020202081 is an equidigital number, since it uses as much as digits as its factorization.

12221020202081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 12221020202081 in words is "twelve trillion, two hundred twenty-one billion, twenty million, two hundred two thousand, eighty-one".