212100001001 has 6 divisors (see below), whose sum is σ = 246728572650. Its totient is φ = 181800000816.

The previous prime is 212100000977. The next prime is 212100001073. The reversal of 212100001001 is 100100001212.

It can be written as a sum of positive squares in only one way, i.e., 162683155600 + 49416845401 = 403340^2 + 222299^2 .

It is a de Polignac number, because none of the positive numbers 2^k-212100001001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212100001001.

It is not an unprimeable number, because it can be changed into a prime (212100001801) 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 5 ways as a sum of consecutive naturals, for example, 2164285676 + ... + 2164285773.

It is an arithmetic number, because the mean of its divisors is an integer number (41121428775).

Almost surely, 2^212100001001 is an apocalyptic number.

It is an amenable number.

212100001001 is a deficient number, since it is larger than the sum of its proper divisors (34628571649).

212100001001 is an equidigital number, since it uses as much as digits as its factorization.

212100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328571463 (or 4328571456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212100001001 its reverse (100100001212), we get a palindrome (312200002213).

The spelling of 212100001001 in words is "two hundred twelve billion, one hundred million, one thousand, one".