2011122110211 has 8 divisors (see below), whose sum is σ = 2767996022784. Its totient is φ = 1297498135560.

The previous prime is 2011122110203. The next prime is 2011122110329. The reversal of 2011122110211 is 1120112211102.

It is a happy number.

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

It is not a de Polignac number, because 2011122110211 - 2³ = 2011122110203 is a prime.

It is a super-2 number, since 2×2011122110211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011122110111) 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, 10812484371 + ... + 10812484556.

It is an arithmetic number, because the mean of its divisors is an integer number (345999502848).

Almost surely, 2^{2011122110211} is an apocalyptic number.

2011122110211 is a deficient number, since it is larger than the sum of its proper divisors (756873912573).

2011122110211 is a wasteful number, since it uses less digits than its factorization.

2011122110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624968961.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011122110211 its reverse (1120112211102), we get a palindrome (3131234321313).

The spelling of 2011122110211 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred ten thousand, two hundred eleven".