212121211012011 has 32 divisors (see below), whose sum is σ = 360649731225600. Its totient is φ = 120704956868160.

The previous prime is 212121211011961. The next prime is 212121211012033. The reversal of 212121211012011 is 110210112121212.

It is a happy number.

212121211012011 is a `hidden beast` number, since 212 + 1 + 212 + 110 + 120 + 11 = 666.

It is not a de Polignac number, because 212121211012011 - 2¹⁴ = 212121210995627 is a prime.

It is a super-2 number, since 2×212121211012011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121211022011) 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 31 ways as a sum of consecutive naturals, for example, 2347934850 + ... + 2348025191.

It is an arithmetic number, because the mean of its divisors is an integer number (11270304100800).

Almost surely, 2^{212121211012011} is an apocalyptic number.

212121211012011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212121211012011 is a deficient number, since it is larger than the sum of its proper divisors (148528520213589).

212121211012011 is a wasteful number, since it uses less digits than its factorization.

212121211012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695960296 (or 4695960290 counting only the distinct ones).

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

Adding to 212121211012011 its reverse (110210112121212), we get a palindrome (322331323133223).

The spelling of 212121211012011 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, twelve thousand, eleven".