2121211000 has 64 divisors (see below), whose sum is σ = 4978752480. Its totient is φ = 845900800.

The previous prime is 2121210967. The next prime is 2121211007. The reversal of 2121211000 is 1121212.

It is a super-3 number, since 3×2121211000³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211007) 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 15 ways as a sum of consecutive naturals, for example, 343944 + ... + 350056.

Almost surely, 2^2121211000 is an apocalyptic number.

2121211000 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 2121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489376240).

2121211000 is an abundant number, since it is smaller than the sum of its proper divisors (2857541480).

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

2121211000 is a wasteful number, since it uses less digits than its factorization.

2121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2121211000 is about 46056.6064750759. The cubic root of 2121211000 is about 1284.8762163311.

Adding to 2121211000 its reverse (1121212), we get a palindrome (2122332212).

The spelling of 2121211000 in words is "two billion, one hundred twenty-one million, two hundred eleven thousand".