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1022201110001 is a prime number
BaseRepresentation
bin11101101111111111110…
…11110001110111110001
310121201110221201200000102
432313333323301313301
5113221431441010001
62101332005202145
7133565045034161
oct16677773616761
93551427650012
101022201110001
11364570972495
12146139100355
13755159a3116
1437690bb85a1
151b8ca86ce6b
hexedffef1df1

1022201110001 has 2 divisors, whose sum is σ = 1022201110002. Its totient is φ = 1022201110000.

The previous prime is 1022201109997. The next prime is 1022201110013. The reversal of 1022201110001 is 1000111022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 793070397025 + 229130712976 = 890545^2 + 478676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022201110001 - 22 = 1022201109997 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022201110061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511100555000 + 511100555001.

It is an arithmetic number, because the mean of its divisors is an integer number (511100555001).

Almost surely, 21022201110001 is an apocalyptic number.

It is an amenable number.

1022201110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022201110001 is an equidigital number, since it uses as much as digits as its factorization.

1022201110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022201110001 its reverse (1000111022201), we get a palindrome (2022312132202).

The spelling of 1022201110001 in words is "one trillion, twenty-two billion, two hundred one million, one hundred ten thousand, one".