212112012002121 has 160 divisors (see below), whose sum is σ = 396265250304000. Its totient is φ = 109847729473920.

The previous prime is 212112012002101. The next prime is 212112012002147. The reversal of 212112012002121 is 121200210211212.

212112012002121 is a `hidden beast` number, since 21 + 211 + 20 + 1 + 200 + 212 + 1 = 666.

It is not a de Polignac number, because 212112012002121 - 2⁶ = 212112012002057 is a prime.

It is a super-3 number, since 3×212112012002121³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212112012002094 and 212112012002103.

It is not an unprimeable number, because it can be changed into a prime (212112012002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13632745740 + ... + 13632761298.

It is an arithmetic number, because the mean of its divisors is an integer number (2476657814400).

Almost surely, 2^{212112012002121} is an apocalyptic number.

212112012002121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112012002121 is a deficient number, since it is larger than the sum of its proper divisors (184153238301879).

212112012002121 is a wasteful number, since it uses less digits than its factorization.

212112012002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22201 (or 22192 counting only the distinct ones).

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

Adding to 212112012002121 its reverse (121200210211212), we get a palindrome (333312222213333).

The spelling of 212112012002121 in words is "two hundred twelve trillion, one hundred twelve billion, twelve million, two thousand, one hundred twenty-one".