212101101201 has 16 divisors (see below), whose sum is σ = 312736870080. Its totient is φ = 126785214720.

The previous prime is 212101101151. The next prime is 212101101209. The reversal of 212101101201 is 102101101212.

212101101201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212101101201 - 2²⁶ = 212033992337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212101101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44020236 + ... + 44025053.

It is an arithmetic number, because the mean of its divisors is an integer number (19546054380).

Almost surely, 2^212101101201 is an apocalyptic number.

It is an amenable number.

212101101201 is a deficient number, since it is larger than the sum of its proper divisors (100635768879).

212101101201 is a wasteful number, since it uses less digits than its factorization.

212101101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88045376.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101101201 its reverse (102101101212), we get a palindrome (314202202413).

The spelling of 212101101201 in words is "two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred one".