10001010110101 has 2 divisors, whose sum is σ = 10001010110102. Its totient is φ = 10001010110100.

The previous prime is 10001010110027. The next prime is 10001010110153. The reversal of 10001010110101 is 10101101010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7514314500625 + 2486695609476 = 2741225^2 + 1576926^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010110101 - 2⁹ = 10001010109589 is a prime.

It is a super-2 number, since 2×10001010110101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010110801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505055050 + 5000505055051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505055051).

Almost surely, 2^{10001010110101} is an apocalyptic number.

It is an amenable number.

10001010110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010110101 is an equidigital number, since it uses as much as digits as its factorization.

10001010110101 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 7.

Adding to 10001010110101 its reverse (10101101010001), we get a palindrome (20102111120102).

The spelling of 10001010110101 in words is "ten trillion, one billion, ten million, one hundred ten thousand, one hundred one".