212000101001 has 32 divisors (see below), whose sum is σ = 236188001280. Its totient is φ = 189042336000.

The previous prime is 212000100989. The next prime is 212000101003. The reversal of 212000101001 is 100101000212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212000101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212000101001.

It is not an unprimeable number, because it can be changed into a prime (212000101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77968520 + ... + 77971238.

It is an arithmetic number, because the mean of its divisors is an integer number (7380875040).

Almost surely, 2^212000101001 is an apocalyptic number.

It is an amenable number.

212000101001 is a deficient number, since it is larger than the sum of its proper divisors (24187900279).

212000101001 is a wasteful number, since it uses less digits than its factorization.

212000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257.

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

Adding to 212000101001 its reverse (100101000212), we get a palindrome (312101101213).

The spelling of 212000101001 in words is "two hundred twelve billion, one hundred one thousand, one".