212100010001 has 8 divisors (see below), whose sum is σ = 231392733600. Its totient is φ = 192809103840.

The previous prime is 212100009991. The next prime is 212100010019. The reversal of 212100010001 is 100010001212.

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

It is a cyclic number.

It is not a de Polignac number, because 212100010001 - 2³⁴ = 194920140817 is a prime.

It is a Duffinian number.

212100010001 is a modest number, since divided by 10001 gives 2121 as remainder.

It is not an unprimeable number, because it can be changed into a prime (212100010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204356 + ... + 682613.

It is an arithmetic number, because the mean of its divisors is an integer number (28924091700).

Almost surely, 2^212100010001 is an apocalyptic number.

It is an amenable number.

212100010001 is a deficient number, since it is larger than the sum of its proper divisors (19292723599).

212100010001 is a wasteful number, since it uses less digits than its factorization.

212100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908719.

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

Adding to 212100010001 its reverse (100010001212), we get a palindrome (312110011213).

It can be divided in two parts, 212 and 100010001, that multiplied together give a palindrome (21202120212).

The spelling of 212100010001 in words is "two hundred twelve billion, one hundred million, ten thousand, one".