212101000100020 has 48 divisors (see below), whose sum is σ = 468856529386560. Its totient is φ = 80374826617344.

The previous prime is 212101000099993. The next prime is 212101000100021. The reversal of 212101000100020 is 20001000101212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101000100021) 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 15 ways as a sum of consecutive naturals, for example, 125773452 + ... + 127448668.

It is an arithmetic number, because the mean of its divisors is an integer number (9767844362220).

Almost surely, 2^{212101000100020} is an apocalyptic number.

212101000100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101000100020 is an abundant number, since it is smaller than the sum of its proper divisors (256755529286540).

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

212101000100020 is a wasteful number, since it uses less digits than its factorization.

212101000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008432 (or 2008430 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212101000100020 its reverse (20001000101212), we get a palindrome (232102000201232).

The spelling of 212101000100020 in words is "two hundred twelve trillion, one hundred one billion, one hundred thousand, twenty".