212201001000 has 192 divisors, whose sum is σ = 733920707520. Its totient is φ = 55270857600.

The previous prime is 212201000951. The next prime is 212201001007. The reversal of 212201001000 is 100102212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212201001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112839 + ... + 661161.

It is an arithmetic number, because the mean of its divisors is an integer number (3822503685).

Almost surely, 2^212201001000 is an apocalyptic number.

212201001000 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 212201001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366960353760).

212201001000 is an abundant number, since it is smaller than the sum of its proper divisors (521719706520).

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

212201001000 is a wasteful number, since it uses less digits than its factorization.

212201001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548393 (or 548376 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212201001000 its reverse (100102212), we get a palindrome (212301103212).

The spelling of 212201001000 in words is "two hundred twelve billion, two hundred one million, one thousand".