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10202122200001 is a prime number
BaseRepresentation
bin1001010001110101110111…
…0111101010001111000001
31100010022110102210212102211
42110131131313222033001
52314122421240400001
633410442405142121
72102036045606314
oct224353567521701
940108412725384
1010202122200001
113283772016516
1211892a60ba941
13590096039134
14273adcdd897b
1512a5a9867351
hex9475ddea3c1

10202122200001 has 2 divisors, whose sum is σ = 10202122200002. Its totient is φ = 10202122200000.

The previous prime is 10202122199963. The next prime is 10202122200007. The reversal of 10202122200001 is 10000222120201.

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., 10201949014401 + 173185600 = 3194049^2 + 13160^2 .

It is an emirp because it is prime and its reverse (10000222120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202122200001 - 237 = 10064683246529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202122200007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061100000 + 5101061100001.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061100001).

Almost surely, 210202122200001 is an apocalyptic number.

It is an amenable number.

10202122200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122200001 is an equidigital number, since it uses as much as digits as its factorization.

10202122200001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202122200001 its reverse (10000222120201), we get a palindrome (20202344320202).

The spelling of 10202122200001 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred thousand, one".