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10001010101 = 10181982321
BaseRepresentation
bin10010101000001101…
…10100110110110101
3221210222122221201112
421110012310312311
5130440224310401
64332220204405
7502556116565
oct112406646665
927728587645
1010001010101
114272344a05
121b31399705
13c34c82174
146ac346da5
153d800c3bb
hex2541b4db5

10001010101 has 4 divisors (see below), whose sum is σ = 10002002604. Its totient is φ = 10000017600.

The previous prime is 10001010079. The next prime is 10001010113. The reversal of 10001010101 is 10101010001.

10001010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10101010001 = 14996738499.

It can be written as a sum of positive squares in 2 ways, for example, as 3392946001 + 6608064100 = 58249^2 + 81290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010101 - 210 = 10001009077 is a prime.

It is a Duffinian number.

10001010101 is a modest number, since divided by 10101 gives 10001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480980 + ... + 501341.

It is an arithmetic number, because the mean of its divisors is an integer number (2500500651).

Almost surely, 210001010101 is an apocalyptic number.

It is an amenable number.

10001010101 is a deficient number, since it is larger than the sum of its proper divisors (992503).

10001010101 is an equidigital number, since it uses as much as digits as its factorization.

10001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992502.

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

Adding to 10001010101 its reverse (10101010001), we get a palindrome (20102020102).

It can be divided in two parts, 1000 and 1010101, that added together give a palindrome (1011101).

The spelling of 10001010101 in words is "ten billion, one million, ten thousand, one hundred one".

Divisors: 1 10181 982321 10001010101