212101212011 has 64 divisors (see below), whose sum is σ = 252912844800. Its totient is φ = 176011315200.

The previous prime is 212101211957. The next prime is 212101212031. The reversal of 212101212011 is 110212101212.

It is a cyclic number.

It is not a de Polignac number, because 212101212011 - 2³⁰ = 211027470187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212101212031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321852800 + ... + 321853458.

It is an arithmetic number, because the mean of its divisors is an integer number (3951763200).

Almost surely, 2^212101212011 is an apocalyptic number.

212101212011 is a deficient number, since it is larger than the sum of its proper divisors (40811632789).

212101212011 is a wasteful number, since it uses less digits than its factorization.

212101212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101212011 its reverse (110212101212), we get a palindrome (322313313223).

The spelling of 212101212011 in words is "two hundred twelve billion, one hundred one million, two hundred twelve thousand, eleven".