101101010001 has 16 divisors (see below), whose sum is σ = 140970113664. Its totient is φ = 64329116544.

The previous prime is 101101009981. The next prime is 101101010011. The reversal of 101101010001 is 100010101101.

It is not a de Polignac number, because 101101010001 - 2⁵ = 101101009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101010011) 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, 1571566 + ... + 1634631.

It is an arithmetic number, because the mean of its divisors is an integer number (8810632104).

Almost surely, 2^101101010001 is an apocalyptic number.

It is an amenable number.

101101010001 is a deficient number, since it is larger than the sum of its proper divisors (39869103663).

101101010001 is a wasteful number, since it uses less digits than its factorization.

101101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206680.

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

Adding to 101101010001 its reverse (100010101101), we get a palindrome (201111111102).

The spelling of 101101010001 in words is "one hundred one billion, one hundred one million, ten thousand, one".