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1001010102217 is a prime number
BaseRepresentation
bin11101001000100001101…
…10011111111111001001
310112200210010002221020021
432210100312133333021
5112400032041232332
62043505132300441
7132214651323316
oct16442066377711
93480703087207
101001010102217
11356587119714
12142004311721
1373519631c68
1436640663d0d
151b08a290c97
hexe910d9ffc9

1001010102217 has 2 divisors, whose sum is σ = 1001010102218. Its totient is φ = 1001010102216.

The previous prime is 1001010102163. The next prime is 1001010102251. The reversal of 1001010102217 is 7122010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 923772799161 + 77237303056 = 961131^2 + 277916^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010102217 - 27 = 1001010102089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010102217.

It is not a weakly prime, because it can be changed into another prime (1001010102277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505051108 + 500505051109.

It is an arithmetic number, because the mean of its divisors is an integer number (500505051109).

Almost surely, 21001010102217 is an apocalyptic number.

It is an amenable number.

1001010102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010102217 is an equidigital number, since it uses as much as digits as its factorization.

1001010102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1001010102217 its reverse (7122010101001), we get a palindrome (8123020203218).

The spelling of 1001010102217 in words is "one trillion, one billion, ten million, one hundred two thousand, two hundred seventeen".