2101222211121 has 24 divisors (see below), whose sum is σ = 3318106862304. Its totient is φ = 1270741066560.

The previous prime is 2101222211111. The next prime is 2101222211173. The reversal of 2101222211121 is 1211122221012.

2101222211121 is a `hidden beast` number, since 210 + 1 + 222 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 2101222211121 - 2⁵ = 2101222211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101222211094 and 2101222211103.

It is not an unprimeable number, because it can be changed into a prime (2101222211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22678036 + ... + 22770501.

It is an arithmetic number, because the mean of its divisors is an integer number (138254452596).

Almost surely, 2^{2101222211121} is an apocalyptic number.

It is an amenable number.

2101222211121 is a deficient number, since it is larger than the sum of its proper divisors (1216884651183).

2101222211121 is a wasteful number, since it uses less digits than its factorization.

2101222211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45449021 (or 45449018 counting only the distinct ones).

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

Adding to 2101222211121 its reverse (1211122221012), we get a palindrome (3312344432133).

The spelling of 2101222211121 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".