2011122112221 has 12 divisors (see below), whose sum is σ = 2933716085820. Its totient is φ = 1327473340800.

The previous prime is 2011122112217. The next prime is 2011122112231. The reversal of 2011122112221 is 1222112211102.

2011122112221 is a `hidden beast` number, since 201 + 11 + 221 + 12 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1587887292996 + 423234819225 = 1260114^2 + 650565^2 .

It is not a de Polignac number, because 2011122112221 - 2² = 2011122112217 is a prime.

It is a super-2 number, since 2×2011122112221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122112194 and 2011122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122112201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1106226876 + ... + 1106228693.

It is an arithmetic number, because the mean of its divisors is an integer number (244476340485).

Almost surely, 2^{2011122112221} is an apocalyptic number.

It is an amenable number.

2011122112221 is a deficient number, since it is larger than the sum of its proper divisors (922593973599).

2011122112221 is a wasteful number, since it uses less digits than its factorization.

2011122112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212455676 (or 2212455673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2011122112221 its reverse (1222112211102), we get a palindrome (3233234323323).

The spelling of 2011122112221 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".