212001212201121 has 24 divisors (see below), whose sum is σ = 349970655340800. Its totient is φ = 121143411271296.

The previous prime is 212001212201101. The next prime is 212001212201137. The reversal of 212001212201121 is 121102212100212.

212001212201121 is a `hidden beast` number, since 2 + 1 + 200 + 121 + 220 + 1 + 121 = 666.

It is not a de Polignac number, because 212001212201121 - 2¹⁰ = 212001212200097 is a prime.

It is a super-3 number, since 3×212001212201121³ (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 = 212001212201094 and 212001212201103.

It is not an unprimeable number, because it can be changed into a prime (212001212201101) 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, 83343321 + ... + 85849353.

It is an arithmetic number, because the mean of its divisors is an integer number (14582110639200).

Almost surely, 2^{212001212201121} is an apocalyptic number.

212001212201121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212001212201121 is a deficient number, since it is larger than the sum of its proper divisors (137969443139679).

212001212201121 is a wasteful number, since it uses less digits than its factorization.

212001212201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848845 (or 3848842 counting only the distinct ones).

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

Adding to 212001212201121 its reverse (121102212100212), we get a palindrome (333103424301333).

The spelling of 212001212201121 in words is "two hundred twelve trillion, one billion, two hundred twelve million, two hundred one thousand, one hundred twenty-one".