212100201010002 has 8 divisors (see below), whose sum is σ = 424200402020016. Its totient is φ = 70700067003332.

The previous prime is 212100201009941. The next prime is 212100201010007. The reversal of 212100201010002 is 200010102001212.

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

212100201010002 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 212100201010002.

It is not an unprimeable number, because it can be changed into a prime (212100201010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17675016750828 + ... + 17675016750839.

It is an arithmetic number, because the mean of its divisors is an integer number (53025050252502).

Almost surely, 2^{212100201010002} is an apocalyptic number.

212100201010002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212100201010002 is a wasteful number, since it uses less digits than its factorization.

212100201010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350033501672.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100201010002 its reverse (200010102001212), we get a palindrome (412110303011214).

It can be divided in two parts, 212100 and 201010002, that added together give a palindrome (201222102).

The spelling of 212100201010002 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, ten thousand, two".