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20101220120041 is a prime number
BaseRepresentation
bin1001001001000001011100…
…00101011011010111101001
32122011122202120222100221121
410210200232011123113221
510113314244322320131
6110430212324335241
74143156654604444
oct444405605332751
978148676870847
1020101220120041
11644a9747a1405
122307901b44521
13b2a6c98108a8
144d6c9336865b
1524cd2b282911
hex12482e15b5e9

20101220120041 has 2 divisors, whose sum is σ = 20101220120042. Its totient is φ = 20101220120040.

The previous prime is 20101220120017. The next prime is 20101220120171. The reversal of 20101220120041 is 14002102210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15609452774400 + 4491767345641 = 3950880^2 + 2119379^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101220120041 - 29 = 20101220119529 is a prime.

It is a super-2 number, since 2×201012201200412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101220119997 and 20101220120024.

It is not a weakly prime, because it can be changed into another prime (20101220120011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050610060020 + 10050610060021.

It is an arithmetic number, because the mean of its divisors is an integer number (10050610060021).

Almost surely, 220101220120041 is an apocalyptic number.

It is an amenable number.

20101220120041 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101220120041 is an equidigital number, since it uses as much as digits as its factorization.

20101220120041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101220120041 its reverse (14002102210102), we get a palindrome (34103322330143).

The spelling of 20101220120041 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred twenty thousand, forty-one".