1011010110101 has 2 divisors, whose sum is σ = 1011010110102. Its totient is φ = 1011010110100.

The previous prime is 1011010110059. The next prime is 1011010110169. The reversal of 1011010110101 is 1010110101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915064428100 + 95945682001 = 956590^2 + 309751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011010110101 is a prime.

It is a super-2 number, since 2×1011010110101² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011010110601) 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, 505505055050 + 505505055051.

It is an arithmetic number, because the mean of its divisors is an integer number (505505055051).

Almost surely, 2^{1011010110101} is an apocalyptic number.

It is an amenable number.

1011010110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011010110101 is an equidigital number, since it uses as much as digits as its factorization.

1011010110101 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 8.

Adding to 1011010110101 its reverse (1010110101101), we get a palindrome (2021120211202).

It can be divided in two parts, 101 and 1010110101, that multiplied together give a palindrome (102021120201).

The spelling of 1011010110101 in words is "one trillion, eleven billion, ten million, one hundred ten thousand, one hundred one".