2011222211121 has 20 divisors (see below), whose sum is σ = 3004515099300. Its totient is φ = 1340771636736.

The previous prime is 2011222211107. The next prime is 2011222211137. The reversal of 2011222211121 is 1211122221102.

2011222211121 is a `hidden beast` number, since 201 + 122 + 221 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315354126096 + 1695868085025 = 561564^2 + 1302255^2 .

It is not a de Polignac number, because 2011222211121 - 2¹⁵ = 2011222178353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011222211094 and 2011222211103.

It is not an unprimeable number, because it can be changed into a prime (2011222211221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2238345 + ... + 3005433.

It is an arithmetic number, because the mean of its divisors is an integer number (150225754965).

Almost surely, 2^{2011222211121} is an apocalyptic number.

It is an amenable number.

2011222211121 is a deficient number, since it is larger than the sum of its proper divisors (993292888179).

2011222211121 is an equidigital number, since it uses as much as digits as its factorization.

2011222211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799470 (or 799461 counting only the distinct ones).

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

Adding to 2011222211121 its reverse (1211122221102), we get a palindrome (3222344432223).

The spelling of 2011222211121 in words is "two trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".