101010001010001 has 16 divisors (see below), whose sum is σ = 136014347543040. Its totient is φ = 66672836211200.

The previous prime is 101010001009993. The next prime is 101010001010041. The reversal of 101010001010001 is 100010100010101.

It is not a de Polignac number, because 101010001010001 - 2³ = 101010001009993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010001010041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49724320 + ... + 51715838.

It is an arithmetic number, because the mean of its divisors is an integer number (8500896721440).

Almost surely, 2^{101010001010001} is an apocalyptic number.

It is an amenable number.

101010001010001 is a deficient number, since it is larger than the sum of its proper divisors (35004346533039).

101010001010001 is a wasteful number, since it uses less digits than its factorization.

101010001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159016.

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

Adding to 101010001010001 its reverse (100010100010101), we get a palindrome (201020101020102).

The spelling of 101010001010001 in words is "one hundred one trillion, ten billion, one million, ten thousand, one".