212003133100020 has 36 divisors (see below), whose sum is σ = 643076170403940. Its totient is φ = 56534168826624.

The previous prime is 212003133100019. The next prime is 212003133100127. The reversal of 212003133100020 is 20001331300212.

212003133100020 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 313 + 310 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101828846096784 + 110174287003236 = 10091028^2 + 10496394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212003133099966 and 212003133100002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 588897591765 + ... + 588897592124.

It is an arithmetic number, because the mean of its divisors is an integer number (17863226955665).

Almost surely, 2^{212003133100020} is an apocalyptic number.

212003133100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003133100020 is an abundant number, since it is smaller than the sum of its proper divisors (431073037303920).

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

212003133100020 is a wasteful number, since it uses less digits than its factorization.

212003133100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177795183904 (or 1177795183899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212003133100020 its reverse (20001331300212), we get a palindrome (232004464400232).

The spelling of 212003133100020 in words is "two hundred twelve trillion, three billion, one hundred thirty-three million, one hundred thousand, twenty".