21011021011100 has 288 divisors, whose sum is σ = 49327142235840. Its totient is φ = 7751697408000.

The previous prime is 21011021011081. The next prime is 21011021011133. The reversal of 21011021011100 is 111012011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3409216619 + ... + 3409222781.

It is an arithmetic number, because the mean of its divisors is an integer number (171274799430).

Almost surely, 2^{21011021011100} is an apocalyptic number.

21011021011100 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 21011021011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663571117920).

21011021011100 is an abundant number, since it is smaller than the sum of its proper divisors (28316121224740).

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

21011021011100 is a wasteful number, since it uses less digits than its factorization.

21011021011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6834 counting only the distinct ones).

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

Adding to 21011021011100 its reverse (111012011012), we get a palindrome (21122033022112).

The spelling of 21011021011100 in words is "twenty-one trillion, eleven billion, twenty-one million, eleven thousand, one hundred".