21100000300000 has 144 divisors (see below), whose sum is σ = 52633743506064. Its totient is φ = 8324380800000.

The previous prime is 21100000299979. The next prime is 21100000300003. The reversal of 21100000300000 is 300000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100000300003) 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, 5854795 + ... + 8745205.

It is an arithmetic number, because the mean of its divisors is an integer number (365512107681).

Almost surely, 2^{21100000300000} is an apocalyptic number.

21100000300000 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 21100000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316871753032).

21100000300000 is an abundant number, since it is smaller than the sum of its proper divisors (31533743206064).

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

21100000300000 is an frugal number, since it uses more digits than its factorization.

21100000300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890519 (or 2890491 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 21100000300000 its reverse (300000112), we get a palindrome (21100300300112).

The spelling of 21100000300000 in words is "twenty-one trillion, one hundred billion, three hundred thousand".