2122112120121 has 24 divisors (see below), whose sum is σ = 3709237993344. Its totient is φ = 1141303996800.

The previous prime is 2122112120101. The next prime is 2122112120129. The reversal of 2122112120121 is 1210212112212.

2122112120121 is a `hidden beast` number, since 212 + 211 + 2 + 120 + 121 = 666.

It is not a de Polignac number, because 2122112120121 - 2⁶ = 2122112120057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122112120094 and 2122112120103.

It is not an unprimeable number, because it can be changed into a prime (2122112120129) 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, 990714205 + ... + 990716346.

It is an arithmetic number, because the mean of its divisors is an integer number (154551583056).

Almost surely, 2^{2122112120121} is an apocalyptic number.

2122112120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122112120121 is a deficient number, since it is larger than the sum of its proper divisors (1587125873223).

2122112120121 is a wasteful number, since it uses less digits than its factorization.

2122112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981430581 (or 1981430578 counting only the distinct ones).

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

Adding to 2122112120121 its reverse (1210212112212), we get a palindrome (3332324232333).

It can be divided in two parts, 212211 and 2120121, that added together give a palindrome (2332332).

The spelling of 2122112120121 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".