212100001101 has 24 divisors (see below), whose sum is σ = 324503243064. Its totient is φ = 133035171840.

The previous prime is 212100001079. The next prime is 212100001103. The reversal of 212100001101 is 101100001212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56133455625 + 155966545476 = 236925^2 + 394926^2 .

It is not a de Polignac number, because 212100001101 - 2⁹ = 212100000589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189741 + ... + 678381.

It is an arithmetic number, because the mean of its divisors is an integer number (13520968461).

Almost surely, 2^212100001101 is an apocalyptic number.

It is an amenable number.

212100001101 is a deficient number, since it is larger than the sum of its proper divisors (112403241963).

212100001101 is a wasteful number, since it uses less digits than its factorization.

212100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491501 (or 491498 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212100001101 its reverse (101100001212), we get a palindrome (313200002313).

The spelling of 212100001101 in words is "two hundred twelve billion, one hundred million, one thousand, one hundred one".