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12200020224101 is a prime number
BaseRepresentation
bin1011000110001000100111…
…0111110010100001100101
31121012022101101102021112122
42301202021313302201211
53044341120134132401
641540340101355325
72366264605610633
oct261421167624145
947168341367478
1012200020224101
113983aaa3a9736
121450542108b45
136a65c2c70188
143026ac646353
1516253d03c21b
hexb1889df2865

12200020224101 has 2 divisors, whose sum is σ = 12200020224102. Its totient is φ = 12200020224100.

The previous prime is 12200020224089. The next prime is 12200020224113. The reversal of 12200020224101 is 10142202000221.

It is a balanced prime because it is at equal distance from previous prime (12200020224089) and next prime (12200020224113).

It can be written as a sum of positive squares in only one way, i.e., 9190659192100 + 3009361032001 = 3031610^2 + 1734751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200020224101 is a prime.

It is a super-2 number, since 2×122000202241012 (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 12200020224101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200020214101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100010112050 + 6100010112051.

It is an arithmetic number, because the mean of its divisors is an integer number (6100010112051).

Almost surely, 212200020224101 is an apocalyptic number.

It is an amenable number.

12200020224101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200020224101 is an equidigital number, since it uses as much as digits as its factorization.

12200020224101 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 17.

Adding to 12200020224101 its reverse (10142202000221), we get a palindrome (22342222224322).

The spelling of 12200020224101 in words is "twelve trillion, two hundred billion, twenty million, two hundred twenty-four thousand, one hundred one".