21101110210000 has 200 divisors, whose sum is σ = 52862079501000. Its totient is φ = 8147462400000.

The previous prime is 21101110209997. The next prime is 21101110210001. The reversal of 21101110210000 is 1201110112.

It can be written as a sum of positive squares in 20 ways, for example, as 16074133673536 + 5026976536464 = 4009256^2 + 2242092^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101110210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2131205050 + ... + 2131214950.

It is an arithmetic number, because the mean of its divisors is an integer number (264310397505).

Almost surely, 2^{21101110210000} is an apocalyptic number.

21101110210000 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 21101110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431039750500).

21101110210000 is an abundant number, since it is smaller than the sum of its proper divisors (31760969291000).

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

21101110210000 is an equidigital number, since it uses as much as digits as its factorization.

21101110210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17307 (or 17286 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21101110210000 its reverse (1201110112), we get a palindrome (21102311320112).

The spelling of 21101110210000 in words is "twenty-one trillion, one hundred one billion, one hundred ten million, two hundred ten thousand".