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1002201101009 is a prime number
BaseRepresentation
bin11101001010101111101…
…01110011001011010001
310112210212010011221102122
432211113311303023101
5112410001440213014
62044223235424025
7132256322542103
oct16452765631321
93483763157378
101002201101009
11357038437739
12142297155015
13736792c4384
14367148cd573
151b109aee58e
hexe957d732d1

1002201101009 has 2 divisors, whose sum is σ = 1002201101010. Its totient is φ = 1002201101008.

The previous prime is 1002201100987. The next prime is 1002201101029. The reversal of 1002201101009 is 9001011022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 952068547600 + 50132553409 = 975740^2 + 223903^2 .

It is an emirp because it is prime and its reverse (9001011022001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002201101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002201101029) 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, 501100550504 + 501100550505.

It is an arithmetic number, because the mean of its divisors is an integer number (501100550505).

Almost surely, 21002201101009 is an apocalyptic number.

It is an amenable number.

1002201101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002201101009 is an equidigital number, since it uses as much as digits as its factorization.

1002201101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1002201101009 in words is "one trillion, two billion, two hundred one million, one hundred one thousand, nine".