21011101100 has 72 divisors (see below), whose sum is σ = 49819478016. Its totient is φ = 7628040000.

The previous prime is 21011101009. The next prime is 21011101103. The reversal of 21011101100 is 110111012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21011101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678965 + ... + 709235.

Almost surely, 2^21011101100 is an apocalyptic number.

21011101100 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 21011101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909739008).

21011101100 is an abundant number, since it is smaller than the sum of its proper divisors (28808376916).

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

21011101100 is a wasteful number, since it uses less digits than its factorization.

21011101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30927 (or 30920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21011101100 its reverse (110111012), we get a palindrome (21121212112).

The spelling of 21011101100 in words is "twenty-one billion, eleven million, one hundred one thousand, one hundred".