212001102120020 has 24 divisors (see below), whose sum is σ = 445203249525384. Its totient is φ = 84800262738816.

The previous prime is 212001102120019. The next prime is 212001102120029. The reversal of 212001102120020 is 20021201100212.

It can be written as a sum of positive squares in 4 ways, for example, as 3125420908996 + 208875681211024 = 1767886^2 + 14452532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212001102119977 and 212001102120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001102120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153307 + ... + 20623586.

It is an arithmetic number, because the mean of its divisors is an integer number (18550135396891).

Almost surely, 2^{212001102120020} is an apocalyptic number.

212001102120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001102120020 is an abundant number, since it is smaller than the sum of its proper divisors (233202147405364).

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

212001102120020 is a wasteful number, since it uses less digits than its factorization.

212001102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263659 (or 22263657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212001102120020 its reverse (20021201100212), we get a palindrome (232022303220232).

The spelling of 212001102120020 in words is "two hundred twelve trillion, one billion, one hundred two million, one hundred twenty thousand, twenty".