212101210101101 has 8 divisors (see below), whose sum is σ = 224972440373880. Its totient is φ = 199273834106368.

The previous prime is 212101210101007. The next prime is 212101210101173. The reversal of 212101210101101 is 101101012101212.

212101210101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9721138279876 + 202380071821225 = 3117874^2 + 14226035^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212101210101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101210101181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10963559546 + ... + 10963578891.

It is an arithmetic number, because the mean of its divisors is an integer number (28121555046735).

Almost surely, 2^{212101210101101} is an apocalyptic number.

It is an amenable number.

212101210101101 is a deficient number, since it is larger than the sum of its proper divisors (12871230272779).

212101210101101 is a wasteful number, since it uses less digits than its factorization.

212101210101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21927139023.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212101210101101 its reverse (101101012101212), we get a palindrome (313202222202313).

The spelling of 212101210101101 in words is "two hundred twelve trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred one".