1001010110101 has 8 divisors (see below), whose sum is σ = 1061458643160. Its totient is φ = 940735531008.

The previous prime is 1001010110099. The next prime is 1001010110143. The reversal of 1001010110101 is 1010110101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 731664679876 + 269345430225 = 855374^2 + 518985^2 .

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 1001010110101 - 2¹ = 1001010110099 is a prime.

It is a super-2 number, since 2×1001010110101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010110161) 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 in 7 ways as a sum of consecutive naturals, for example, 43476636 + ... + 43499653.

It is an arithmetic number, because the mean of its divisors is an integer number (132682330395).

Almost surely, 2^{1001010110101} is an apocalyptic number.

It is an amenable number.

1001010110101 is a deficient number, since it is larger than the sum of its proper divisors (60448533059).

1001010110101 is an equidigital number, since it uses as much as digits as its factorization.

1001010110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86976983.

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

Adding to 1001010110101 its reverse (1010110101001), we get a palindrome (2011120211102).

It can be divided in two parts, 1001010 and 110101, that added together give a palindrome (1111111).

The spelling of 1001010110101 in words is "one trillion, one billion, ten million, one hundred ten thousand, one hundred one".