21100211011100 has 216 divisors, whose sum is σ = 51042777271920. Its totient is φ = 7526025446400.

The previous prime is 21100211011063. The next prime is 21100211011157. The reversal of 21100211011100 is 111011200112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710836859 + ... + 710866541.

Almost surely, 2^{21100211011100} is an apocalyptic number.

21100211011100 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 21100211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521388635960).

21100211011100 is an abundant number, since it is smaller than the sum of its proper divisors (29942566260820).

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

21100211011100 is a wasteful number, since it uses less digits than its factorization.

21100211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30341 (or 30303 counting only the distinct ones).

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

Adding to 21100211011100 its reverse (111011200112), we get a palindrome (21211222211212).

The spelling of 21100211011100 in words is "twenty-one trillion, one hundred billion, two hundred eleven million, eleven thousand, one hundred".