212122220101000 has 1024 divisors, whose sum is σ = 591761760445440. Its totient is φ = 70314393600000.

The previous prime is 212122220100979. The next prime is 212122220101027. The reversal of 212122220101000 is 101022221212.

It is a happy number.

212122220101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 188888886439 + ... + 188888887561.

It is an arithmetic number, because the mean of its divisors is an integer number (577892344185).

Almost surely, 2^{212122220101000} is an apocalyptic number.

212122220101000 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 212122220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295880880222720).

212122220101000 is an abundant number, since it is smaller than the sum of its proper divisors (379639540344440).

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

212122220101000 is a wasteful number, since it uses less digits than its factorization.

212122220101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

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

Adding to 212122220101000 its reverse (101022221212), we get a palindrome (212223242322212).

It can be divided in two parts, 2121222 and 20101000, that added together give a palindrome (22222222).

The spelling of 212122220101000 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty million, one hundred one thousand".