212210101211020 has 192 divisors, whose sum is σ = 516040151598720. Its totient is φ = 72446443520000.

The previous prime is 212210101210981. The next prime is 212210101211021. The reversal of 212210101211020 is 20112101012212.

It is a junction number, because it is equal to n+sod(n) for n = 212210101210985 and 212210101211003.

It is not an unprimeable number, because it can be changed into a prime (212210101211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2411407020 + ... + 2411495020.

It is an arithmetic number, because the mean of its divisors is an integer number (2687709122910).

Almost surely, 2^{212210101211020} is an apocalyptic number.

212210101211020 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 212210101211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258020075799360).

212210101211020 is an abundant number, since it is smaller than the sum of its proper divisors (303830050387700).

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

212210101211020 is a wasteful number, since it uses less digits than its factorization.

212210101211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89644 (or 89642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212210101211020 its reverse (20112101012212), we get a palindrome (232322202223232).

The spelling of 212210101211020 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one million, two hundred eleven thousand, twenty".