101010001101001 has 4 divisors (see below), whose sum is σ = 101385502964100. Its totient is φ = 100634499237904.

The previous prime is 101010001100951. The next prime is 101010001101007. The reversal of 101010001101001 is 100101100010101.

It is a happy number.

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

It can be written as a sum of positive squares in 2 ways, for example, as 25349160692025 + 75660840408976 = 5034795^2 + 8698324^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001101001 - 2²³ = 101009992712393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010001101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187750931146 + ... + 187750931683.

It is an arithmetic number, because the mean of its divisors is an integer number (25346375741025).

Almost surely, 2^{101010001101001} is an apocalyptic number.

It is an amenable number.

101010001101001 is a deficient number, since it is larger than the sum of its proper divisors (375501863099).

101010001101001 is an equidigital number, since it uses as much as digits as its factorization.

101010001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375501863098.

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

Adding to 101010001101001 its reverse (100101100010101), we get a palindrome (201111101111102).

The spelling of 101010001101001 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, one".