212100101101 has 16 divisors (see below), whose sum is σ = 248153603328. Its totient is φ = 177534288000.

The previous prime is 212100100999. The next prime is 212100101119. The reversal of 212100101101 is 101101001212.

It is a cyclic number.

It is not a de Polignac number, because 212100101101 - 2²⁹ = 211563230189 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 (212100101201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2003185 + ... + 2106406.

It is an arithmetic number, because the mean of its divisors is an integer number (15509600208).

Almost surely, 2^212100101101 is an apocalyptic number.

It is an amenable number.

212100101101 is a deficient number, since it is larger than the sum of its proper divisors (36053502227).

212100101101 is a wasteful number, since it uses less digits than its factorization.

212100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109772.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212100101101 its reverse (101101001212), we get a palindrome (313201102313).

The spelling of 212100101101 in words is "two hundred twelve billion, one hundred million, one hundred one thousand, one hundred one".