212121002120011 has 8 divisors (see below), whose sum is σ = 212544735619104. Its totient is φ = 211697276644800.

The previous prime is 212121002119981. The next prime is 212121002120029. The reversal of 212121002120011 is 110021200121212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212121002120011 - 2¹⁵ = 212121002087243 is a prime.

It is a super-3 number, since 3×212121002120011³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121002180011) 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 7 ways as a sum of consecutive naturals, for example, 52390911 + ... + 56294311.

It is an arithmetic number, because the mean of its divisors is an integer number (26568091952388).

Almost surely, 2^{212121002120011} is an apocalyptic number.

212121002120011 is a deficient number, since it is larger than the sum of its proper divisors (423733499093).

212121002120011 is a wasteful number, since it uses less digits than its factorization.

212121002120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011941.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212121002120011 its reverse (110021200121212), we get a palindrome (322142202241223).

The spelling of 212121002120011 in words is "two hundred twelve trillion, one hundred twenty-one billion, two million, one hundred twenty thousand, eleven".