2122211221101 has 12 divisors (see below), whose sum is σ = 3065430634812. Its totient is φ = 1414800822336.

The previous prime is 2122211221099. The next prime is 2122211221103. The reversal of 2122211221101 is 1011221122212.

2122211221101 is a `hidden beast` number, since 212 + 221 + 1 + 221 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2122211221099) and next prime (2122211221103).

It can be written as a sum of positive squares in 2 ways, for example, as 1405185014025 + 717026207076 = 1185405^2 + 846774^2 .

It is not a de Polignac number, because 2122211221101 - 2¹ = 2122211221099 is a prime.

It is a super-3 number, since 3×2122211221101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122211221103) 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, 2165905 + ... + 2989241.

It is an arithmetic number, because the mean of its divisors is an integer number (255452552901).

Almost surely, 2^{2122211221101} is an apocalyptic number.

It is an amenable number.

2122211221101 is a deficient number, since it is larger than the sum of its proper divisors (943219413711).

2122211221101 is a wasteful number, since it uses less digits than its factorization.

2122211221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109740 (or 1109737 counting only the distinct ones).

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

Adding to 2122211221101 its reverse (1011221122212), we get a palindrome (3133432343313).

The spelling of 2122211221101 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".