2011102221011 has 8 divisors (see below), whose sum is σ = 2168733122640. Its totient is φ = 1853889995232.

The previous prime is 2011102221001. The next prime is 2011102221031. The reversal of 2011102221011 is 1101222011102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011102221011 - 2³⁰ = 2010028479187 is a prime.

It is a super-3 number, since 3×2011102221011³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011102221001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104658980 + ... + 104678193.

It is an arithmetic number, because the mean of its divisors is an integer number (271091640330).

Almost surely, 2^{2011102221011} is an apocalyptic number.

2011102221011 is a deficient number, since it is larger than the sum of its proper divisors (157630901629).

2011102221011 is a wasteful number, since it uses less digits than its factorization.

2011102221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209337925.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011102221011 its reverse (1101222011102), we get a palindrome (3112324232113).

The spelling of 2011102221011 in words is "two trillion, eleven billion, one hundred two million, two hundred twenty-one thousand, eleven".