21102112000 has 144 divisors (see below), whose sum is σ = 53067897792. Its totient is φ = 8360601600.

The previous prime is 21102111977. The next prime is 21102112001. The reversal of 21102112000 is 21120112.

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 (21102112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420919 + ... + 3427081.

It is an arithmetic number, because the mean of its divisors is an integer number (368527068).

Almost surely, 2^21102112000 is an apocalyptic number.

21102112000 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 21102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26533948896).

21102112000 is an abundant number, since it is smaller than the sum of its proper divisors (31965785792).

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

21102112000 is an equidigital number, since it uses as much as digits as its factorization.

21102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21102112000 its reverse (21120112), we get a palindrome (21123232112).

The spelling of 21102112000 in words is "twenty-one billion, one hundred two million, one hundred twelve thousand".