212201102210020 has 288 divisors, whose sum is σ = 598996796598144. Its totient is φ = 62226088243200.

The previous prime is 212201102209951. The next prime is 212201102210023. The reversal of 212201102210020 is 20012201102212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212201102209976 and 212201102210003.

It is not an unprimeable number, because it can be changed into a prime (212201102210023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480103567 + ... + 480545353.

It is an arithmetic number, because the mean of its divisors is an integer number (2079849988188).

Almost surely, 2^{212201102210020} is an apocalyptic number.

212201102210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201102210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299498398299072).

212201102210020 is an abundant number, since it is smaller than the sum of its proper divisors (386795694388124).

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

212201102210020 is a wasteful number, since it uses less digits than its factorization.

212201102210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444459 (or 444450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212201102210020 its reverse (20012201102212), we get a palindrome (232213303312232).

The spelling of 212201102210020 in words is "two hundred twelve trillion, two hundred one billion, one hundred two million, two hundred ten thousand, twenty".