212101001000020 has 24 divisors (see below), whose sum is σ = 485904111382368. Its totient is φ = 77127636727200.

The previous prime is 212101001000017. The next prime is 212101001000029. The reversal of 212101001000020 is 20000100101212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212101000999970 and 212101001000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101001000029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482047729326 + ... + 482047729765.

It is an arithmetic number, because the mean of its divisors is an integer number (20246004640932).

Almost surely, 2^{212101001000020} is an apocalyptic number.

212101001000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101001000020 is an abundant number, since it is smaller than the sum of its proper divisors (273803110382348).

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

212101001000020 is a wasteful number, since it uses less digits than its factorization.

212101001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964095459111 (or 964095459109 counting only the distinct ones).

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

Adding to 212101001000020 its reverse (20000100101212), we get a palindrome (232101101101232).

The spelling of 212101001000020 in words is "two hundred twelve trillion, one hundred one billion, one million, twenty", and thus it is an aban number.