21011111111000 has 256 divisors, whose sum is σ = 50145915456000. Its totient is φ = 8238729715200.

The previous prime is 21011111110993. The next prime is 21011111111027. The reversal of 21011111111000 is 11111111012.

It is a happy number.

It is a super-3 number, since 3×21011111111000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8275347731 + ... + 8275350269.

It is an arithmetic number, because the mean of its divisors is an integer number (195882482250).

Almost surely, 2^{21011111111000} is an apocalyptic number.

21011111111000 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 21011111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072957728000).

21011111111000 is an abundant number, since it is smaller than the sum of its proper divisors (29134804345000).

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

21011111111000 is a wasteful number, since it uses less digits than its factorization.

21011111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 21011111111000 its reverse (11111111012), we get a palindrome (21022222222012).

The spelling of 21011111111000 in words is "twenty-one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand".