2001101003011 has 32 divisors (see below), whose sum is σ = 2218604774400. Its totient is φ = 1789662689280.

The previous prime is 2001101002993. The next prime is 2001101003021. The reversal of 2001101003011 is 1103001011002.

It is a cyclic number.

It is not a de Polignac number, because 2001101003011 - 2³⁵ = 1966741264643 is a prime.

It is a super-2 number, since 2×2001101003011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001101003021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981411930 + ... + 981413968.

It is an arithmetic number, because the mean of its divisors is an integer number (69331399200).

Almost surely, 2^{2001101003011} is an apocalyptic number.

2001101003011 is a deficient number, since it is larger than the sum of its proper divisors (217503771389).

2001101003011 is a wasteful number, since it uses less digits than its factorization.

2001101003011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 2001101003011 its reverse (1103001011002), we get a palindrome (3104102014013).

The spelling of 2001101003011 in words is "two trillion, one billion, one hundred one million, three thousand, eleven".