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1001000110001 is a prime number
BaseRepresentation
bin11101001000100000100…
…00011000011110110001
310112200202102022021111012
432210100100120132301
5112400022012010001
62043504134200305
7132214500355433
oct16442020303661
93480672267435
101001000110001
11356581514391
12142000ab3095
1373517543ac8
143663d1c2653
151b08946a2bb
hexe9104187b1

1001000110001 has 2 divisors, whose sum is σ = 1001000110002. Its totient is φ = 1001000110000.

The previous prime is 1001000109979. The next prime is 1001000110043. The reversal of 1001000110001 is 1000110001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636484840000 + 364515270001 = 797800^2 + 603751^2 .

It is an emirp because it is prime and its reverse (1000110001001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001000110001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000110081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500055000 + 500500055001.

It is an arithmetic number, because the mean of its divisors is an integer number (500500055001).

Almost surely, 21001000110001 is an apocalyptic number.

It is an amenable number.

1001000110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000110001 is an equidigital number, since it uses as much as digits as its factorization.

1001000110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001000110001 its reverse (1000110001001), we get a palindrome (2001110111002).

The spelling of 1001000110001 in words is "one trillion, one billion, one hundred ten thousand, one".