21211110011000 has 512 divisors, whose sum is σ = 62972163072000. Its totient is φ = 6508594022400.

The previous prime is 21211110010991. The next prime is 21211110011011. The reversal of 21211110011000 is 11001111212.

It is a super-2 number, since 2×21211110011000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457615826 + ... + 457662174.

It is an arithmetic number, because the mean of its divisors is an integer number (122992506000).

Almost surely, 2^{21211110011000} is an apocalyptic number.

21211110011000 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 21211110011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31486081536000).

21211110011000 is an abundant number, since it is smaller than the sum of its proper divisors (41761053061000).

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

21211110011000 is a wasteful number, since it uses less digits than its factorization.

21211110011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46544 (or 46530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21211110011000 its reverse (11001111212), we get a palindrome (21222111122212).

The spelling of 21211110011000 in words is "twenty-one trillion, two hundred eleven billion, one hundred ten million, eleven thousand".