2112221221101 has 24 divisors (see below), whose sum is σ = 3122438941440. Its totient is φ = 1375550548416.

The previous prime is 2112221221067. The next prime is 2112221221129. The reversal of 2112221221101 is 1011221222112.

2112221221101 is a `hidden beast` number, since 211 + 2 + 221 + 221 + 10 + 1 = 666.

It is not a de Polignac number, because 2112221221101 - 2¹⁸ = 2112220958957 is a prime.

It is a super-2 number, since 2×2112221221101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112221221801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15818941 + ... + 15951906.

It is an arithmetic number, because the mean of its divisors is an integer number (130101622560).

Almost surely, 2^{2112221221101} is an apocalyptic number.

It is an amenable number.

2112221221101 is a deficient number, since it is larger than the sum of its proper divisors (1010217720339).

2112221221101 is a wasteful number, since it uses less digits than its factorization.

2112221221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31771025 (or 31771022 counting only the distinct ones).

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

Adding to 2112221221101 its reverse (1011221222112), we get a palindrome (3123442443213).

The spelling of 2112221221101 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred one".