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1000000111001 is a prime number
BaseRepresentation
bin11101000110101001010…
…01101100000110011001
310112121011201122001202012
432203110221230012121
5112341000012023001
62043221012515305
7132150635460443
oct16432451540631
93477151561665
101000000111001
11356108aa1331
1214198201bb35
13733b8307218
1436586475493
151b02b7892bb
hexe8d4a6c199

1000000111001 has 2 divisors, whose sum is σ = 1000000111002. Its totient is φ = 1000000111000.

The previous prime is 1000000110983. The next prime is 1000000111003. The reversal of 1000000111001 is 1001110000001.

Adding to 1000000111001 its reverse (1001110000001), we get a palindrome (2001110111002).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994966350400 + 5033760601 = 997480^2 + 70949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000000111001 is a prime.

Together with 1000000111003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000000111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000055500 + 500000055501.

It is an arithmetic number, because the mean of its divisors is an integer number (500000055501).

Almost surely, 21000000111001 is an apocalyptic number.

It is an amenable number.

1000000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000000111001 is an equidigital number, since it uses as much as digits as its factorization.

1000000111001 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 1000000111001 in words is "one trillion, one hundred eleven thousand, one".