2011122202011 has 16 divisors (see below), whose sum is σ = 2888126226720. Its totient is φ = 1237458942720.

The previous prime is 2011122202003. The next prime is 2011122202013. The reversal of 2011122202011 is 1102022211102.

It is not a de Polignac number, because 2011122202011 - 2³ = 2011122202003 is a prime.

It is a super-2 number, since 2×2011122202011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011122202013) 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, 2906980 + ... + 3531681.

It is an arithmetic number, because the mean of its divisors is an integer number (180507889170).

Almost surely, 2^{2011122202011} is an apocalyptic number.

2011122202011 is a deficient number, since it is larger than the sum of its proper divisors (877004024709).

2011122202011 is a wasteful number, since it uses less digits than its factorization.

2011122202011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446686.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2011122202011 its reverse (1102022211102), we get a palindrome (3113144413113).

Subtracting from 2011122202011 its reverse (1102022211102), we obtain a palindrome (909099990909).

The spelling of 2011122202011 in words is "two trillion, eleven billion, one hundred twenty-two million, two hundred two thousand, eleven".