21011122111100 has 288 divisors, whose sum is σ = 51549894595584. Its totient is φ = 7367753318400.

The previous prime is 21011122111079. The next prime is 21011122111117. The reversal of 21011122111100 is 111122111012.

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, 1138373072 + ... + 1138391528.

It is an arithmetic number, because the mean of its divisors is an integer number (178992689568).

Almost surely, 2^{21011122111100} is an apocalyptic number.

21011122111100 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 21011122111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25774947297792).

21011122111100 is an abundant number, since it is smaller than the sum of its proper divisors (30538772484484).

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

21011122111100 is a wasteful number, since it uses less digits than its factorization.

21011122111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18853 (or 18846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21011122111100 its reverse (111122111012), we get a palindrome (21122244222112).

The spelling of 21011122111100 in words is "twenty-one trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".