10010101001001 has 16 divisors (see below), whose sum is σ = 13479252221568. Its totient is φ = 6607178208000.

The previous prime is 10010101000997. The next prime is 10010101001003. The reversal of 10010101001001 is 10010010101001.

It is not a de Polignac number, because 10010101001001 - 2² = 10010101000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010101001003) 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 15 ways as a sum of consecutive naturals, for example, 13978641 + ... + 14677281.

It is an arithmetic number, because the mean of its divisors is an integer number (842453263848).

Almost surely, 2^{10010101001001} is an apocalyptic number.

It is an amenable number.

10010101001001 is a deficient number, since it is larger than the sum of its proper divisors (3469151220567).

10010101001001 is a wasteful number, since it uses less digits than its factorization.

10010101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746032.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010101001001 its reverse (10010010101001), we get a palindrome (20020111102002).

The spelling of 10010101001001 in words is "ten trillion, ten billion, one hundred one million, one thousand, one".