2122212101121 has 24 divisors (see below), whose sum is σ = 3569434914240. Its totient is φ = 1189811634336.

The previous prime is 2122212101089. The next prime is 2122212101129. The reversal of 2122212101121 is 1211012122212.

2122212101121 is a `hidden beast` number, since 212 + 221 + 210 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 2122212101121 - 2⁵ = 2122212101089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122212101094 and 2122212101103.

It is not an unprimeable number, because it can be changed into a prime (2122212101129) 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, 317788231 + ... + 317794908.

It is an arithmetic number, because the mean of its divisors is an integer number (148726454760).

Almost surely, 2^{2122212101121} is an apocalyptic number.

2122212101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122212101121 is a deficient number, since it is larger than the sum of its proper divisors (1447222813119).

2122212101121 is a wasteful number, since it uses less digits than its factorization.

2122212101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635583205 (or 635583202 counting only the distinct ones).

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

Adding to 2122212101121 its reverse (1211012122212), we get a palindrome (3333224223333).

The spelling of 2122212101121 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".