1010101101001 has 4 divisors (see below), whose sum is σ = 1010104122832. Its totient is φ = 1010098079172.

The previous prime is 1010101100993. The next prime is 1010101101007. The reversal of 1010101101001 is 1001011010101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1010101101001 - 2³ = 1010101100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010101101007) 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, 936795 + ... + 1702288.

It is an arithmetic number, because the mean of its divisors is an integer number (252526030708).

Almost surely, 2^{1010101101001} is an apocalyptic number.

It is an amenable number.

1010101101001 is a deficient number, since it is larger than the sum of its proper divisors (3021831).

1010101101001 is an equidigital number, since it uses as much as digits as its factorization.

1010101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021830.

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

Adding to 1010101101001 its reverse (1001011010101), we get a palindrome (2011112111102).

The spelling of 1010101101001 in words is "one trillion, ten billion, one hundred one million, one hundred one thousand, one".