10001011100001 has 16 divisors (see below), whose sum is σ = 13383375475200. Its totient is φ = 6642995724288.

The previous prime is 10001011099999. The next prime is 10001011100009. The reversal of 10001011100001 is 10000111010001.

It is not a de Polignac number, because 10001011100001 - 2¹ = 10001011099999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001011100009) 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, 20903265 + ... + 21376353.

It is an arithmetic number, because the mean of its divisors is an integer number (836460967200).

Almost surely, 2^{10001011100001} is an apocalyptic number.

It is an amenable number.

10001011100001 is a deficient number, since it is larger than the sum of its proper divisors (3382364375199).

10001011100001 is a wasteful number, since it uses less digits than its factorization.

10001011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498808.

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

Adding to 10001011100001 its reverse (10000111010001), we get a palindrome (20001122110002).

The spelling of 10001011100001 in words is "ten trillion, one billion, eleven million, one hundred thousand, one".