212001220101000 has 256 divisors, whose sum is σ = 721667276478720. Its totient is φ = 51387667200000.

The previous prime is 212001220100993. The next prime is 212001220101001. The reversal of 212001220101000 is 101022100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212001220101001) 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 63 ways as a sum of consecutive naturals, for example, 260326452 + ... + 261139548.

It is an arithmetic number, because the mean of its divisors is an integer number (2819012798745).

Almost surely, 2^{212001220101000} is an apocalyptic number.

212001220101000 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 212001220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360833638239360).

212001220101000 is an abundant number, since it is smaller than the sum of its proper divisors (509666056377720).

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

212001220101000 is a wasteful number, since it uses less digits than its factorization.

212001220101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821033 (or 821019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212001220101000 its reverse (101022100212), we get a palindrome (212102242201212).

The spelling of 212001220101000 in words is "two hundred twelve trillion, one billion, two hundred twenty million, one hundred one thousand".