212112121001121 has 32 divisors (see below), whose sum is σ = 351168626067840. Its totient is φ = 125417366438400.

The previous prime is 212112121001113. The next prime is 212112121001129. The reversal of 212112121001121 is 121100121211212.

It is a happy number.

212112121001121 is a `hidden beast` number, since 21 + 211 + 212 + 100 + 1 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (212112121001113) and next prime (212112121001129).

It is not a de Polignac number, because 212112121001121 - 2³ = 212112121001113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212112121001094 and 212112121001103.

It is not an unprimeable number, because it can be changed into a prime (212112121001129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8709527160 + ... + 8709551513.

It is an arithmetic number, because the mean of its divisors is an integer number (10974019564620).

Almost surely, 2^{212112121001121} is an apocalyptic number.

It is an amenable number.

212112121001121 is a deficient number, since it is larger than the sum of its proper divisors (139056505066719).

212112121001121 is a wasteful number, since it uses less digits than its factorization.

212112121001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419078734 (or 17419078728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112121001121 its reverse (121100121211212), we get a palindrome (333212242212333).

The spelling of 212112121001121 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, one hundred twenty-one".