1010011010101 has 8 divisors (see below), whose sum is σ = 1010415463704. Its totient is φ = 1009606640640.

The previous prime is 1010011010093. The next prime is 1010011010119. The reversal of 1010011010101 is 1010101100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39340739025 + 970670271076 = 198345^2 + 985226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010011010101 - 2³ = 1010011010093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011010501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34180005 + ... + 34209541.

It is an arithmetic number, because the mean of its divisors is an integer number (126301932963).

Almost surely, 2^{1010011010101} is an apocalyptic number.

It is an amenable number.

1010011010101 is a deficient number, since it is larger than the sum of its proper divisors (404453603).

1010011010101 is an equidigital number, since it uses as much as digits as its factorization.

1010011010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42071.

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

Adding to 1010011010101 its reverse (1010101100101), we get a palindrome (2020112110202).

The spelling of 1010011010101 in words is "one trillion, ten billion, eleven million, ten thousand, one hundred one".