1010110010001 has 16 divisors (see below), whose sum is σ = 1390755287040. Its totient is φ = 651451214160.

The previous prime is 1010110009967. The next prime is 1010110010023. The reversal of 1010110010001 is 1000100110101.

It is not a de Polignac number, because 1010110010001 - 2¹⁹ = 1010109485713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010110010071) 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 15 ways as a sum of consecutive naturals, for example, 1676781 + ... + 2198138.

It is an arithmetic number, because the mean of its divisors is an integer number (86922205440).

Almost surely, 2^{1010110010001} is an apocalyptic number.

It is an amenable number.

1010110010001 is a deficient number, since it is larger than the sum of its proper divisors (380645277039).

1010110010001 is a wasteful number, since it uses less digits than its factorization.

1010110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877756.

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

Adding to 1010110010001 its reverse (1000100110101), we get a palindrome (2010210120102).

It can be divided in two parts, 10101100 and 10001, that added together give a palindrome (10111101).

The spelling of 1010110010001 in words is "one trillion, ten billion, one hundred ten million, ten thousand, one".