21211000011000 has 512 divisors, whose sum is σ = 78795022924800. Its totient is φ = 5259396556800.

The previous prime is 21211000010939. The next prime is 21211000011001. The reversal of 21211000011000 is 11000011212.

It is a happy number.

It is a super-3 number, since 3×21211000011000³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211000011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37818619 + ... + 38375381.

It is an arithmetic number, because the mean of its divisors is an integer number (153896529150).

Almost surely, 2^{21211000011000} is an apocalyptic number.

21211000011000 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 21211000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39397511462400).

21211000011000 is an abundant number, since it is smaller than the sum of its proper divisors (57584022913800).

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

21211000011000 is a wasteful number, since it uses less digits than its factorization.

21211000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556893 (or 556873 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21211000011000 its reverse (11000011212), we get a palindrome (21222000022212).

The spelling of 21211000011000 in words is "twenty-one trillion, two hundred eleven billion, eleven thousand".