212110001000 has 32 divisors (see below), whose sum is σ = 496337404680. Its totient is φ = 84844000000.

The previous prime is 212110000939. The next prime is 212110001009. The reversal of 212110001000 is 100011212.

212110001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98356249924 + 113753751076 = 313618^2 + 337274^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (212110001009) 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 7 ways as a sum of consecutive naturals, for example, 106054001 + ... + 106056000.

Almost surely, 2^212110001000 is an apocalyptic number.

212110001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110001000 is an abundant number, since it is smaller than the sum of its proper divisors (284227403680).

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

212110001000 is a wasteful number, since it uses less digits than its factorization.

212110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212110022 (or 212110008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212110001000 its reverse (100011212), we get a palindrome (212210012212).

The spelling of 212110001000 in words is "two hundred twelve billion, one hundred ten million, one thousand".