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1010001010001 is a prime number
BaseRepresentation
bin11101011001010001100…
…00000101110101010001
310120112222201002101001212
432230220300011311101
5113021440224310001
62051553230505505
7132653523635414
oct16545060056521
93515881071055
101010001010001
1135a38026a815
121438b3365295
137432024a939
1436c5478db7b
151b4147737bb
hexeb28c05d51

1010001010001 has 2 divisors, whose sum is σ = 1010001010002. Its totient is φ = 1010001010000.

The previous prime is 1010001009991. The next prime is 1010001010003. The reversal of 1010001010001 is 1000101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009582848400 + 418161601 = 1004780^2 + 20449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010001010001 is a prime.

Together with 1010001010003, 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 (1010001010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000505000 + 505000505001.

It is an arithmetic number, because the mean of its divisors is an integer number (505000505001).

Almost surely, 21010001010001 is an apocalyptic number.

It is an amenable number.

1010001010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001010001 is an equidigital number, since it uses as much as digits as its factorization.

1010001010001 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 1010001010001 its reverse (1000101000101), we get a palindrome (2010102010102).

The spelling of 1010001010001 in words is "one trillion, ten billion, one million, ten thousand, one".