10010101010101 has 4 divisors (see below), whose sum is σ = 10010677082092. Its totient is φ = 10009524938112.

The previous prime is 10010101010089. The next prime is 10010101010113. The reversal of 10010101010101 is 10101010101001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10010101010089) and next prime (10010101010113).

It can be written as a sum of positive squares in 2 ways, for example, as 1013706648900 + 8996394361201 = 1006830^2 + 2999399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101010101 - 2⁵ = 10010101010069 is a prime.

It is a Duffinian number.

10010101010101 is a modest number, since divided by 1010101 gives 100101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101010201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288009930 + ... + 288044683.

It is an arithmetic number, because the mean of its divisors is an integer number (2502669270523).

Almost surely, 2^{10010101010101} is an apocalyptic number.

It is an amenable number.

10010101010101 is a deficient number, since it is larger than the sum of its proper divisors (576071991).

10010101010101 is an equidigital number, since it uses as much as digits as its factorization.

10010101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576071990.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010101010101 its reverse (10101010101001), we get a palindrome (20111111111102).

The spelling of 10010101010101 in words is "ten trillion, ten billion, one hundred one million, ten thousand, one hundred one".