2001101101001 has 16 divisors (see below), whose sum is σ = 2157082065600. Its totient is φ = 1850254576128.

The previous prime is 2001101100997. The next prime is 2001101101003. The reversal of 2001101101001 is 1001011011002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2001101101001 - 2² = 2001101100997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001101101001.

It is not an unprimeable number, because it can be changed into a prime (2001101101003) 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, 103025 + ... + 2003201.

It is an arithmetic number, because the mean of its divisors is an integer number (134817629100).

Almost surely, 2^{2001101101001} is an apocalyptic number.

It is an amenable number.

2001101101001 is a deficient number, since it is larger than the sum of its proper divisors (155980964599).

2001101101001 is a wasteful number, since it uses less digits than its factorization.

2001101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901528.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2001101101001 its reverse (1001011011002), we get a palindrome (3002112112003).

The spelling of 2001101101001 in words is "two trillion, one billion, one hundred one million, one hundred one thousand, one".