212121211010121 has 240 divisors, whose sum is σ = 391740144599232. Its totient is φ = 113658457651200.

The previous prime is 212121211010083. The next prime is 212121211010183. The reversal of 212121211010121 is 121010112121212.

It is a happy number.

212121211010121 is a `hidden beast` number, since 212 + 1 + 212 + 110 + 10 + 121 = 666.

It is not a de Polignac number, because 212121211010121 - 2⁶ = 212121211010057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212121211010094 and 212121211010103.

It is not an unprimeable number, because it can be changed into a prime (212121211015121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47592820525 + ... + 47592824981.

Almost surely, 2^{212121211010121} is an apocalyptic number.

212121211010121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212121211010121 is a deficient number, since it is larger than the sum of its proper divisors (179618933589111).

212121211010121 is a wasteful number, since it uses less digits than its factorization.

212121211010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6946 counting only the distinct ones).

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

Adding to 212121211010121 its reverse (121010112121212), we get a palindrome (333131323131333).

The spelling of 212121211010121 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, one hundred twenty-one".