2001011101101 has 8 divisors (see below), whose sum is σ = 2964460890560. Its totient is φ = 1334007400716.

The previous prime is 2001011101099. The next prime is 2001011101109. The reversal of 2001011101101 is 1011011101002.

It is not a de Polignac number, because 2001011101101 - 2¹ = 2001011101099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001011101109) 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 7 ways as a sum of consecutive naturals, for example, 37055761105 + ... + 37055761158.

It is an arithmetic number, because the mean of its divisors is an integer number (370557611320).

Almost surely, 2^{2001011101101} is an apocalyptic number.

It is an amenable number.

2001011101101 is a deficient number, since it is larger than the sum of its proper divisors (963449789459).

2001011101101 is an equidigital number, since it uses as much as digits as its factorization.

2001011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74111522272 (or 74111522266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2001011101101 its reverse (1011011101002), we get a palindrome (3012022202103).

Subtracting from 2001011101101 its reverse (1011011101002), we obtain a palindrome (990000000099).

The spelling of 2001011101101 in words is "two trillion, one billion, eleven million, one hundred one thousand, one hundred one".