21010100111000 has 576 divisors, whose sum is σ = 66875884770240. Its totient is φ = 6044822784000.

The previous prime is 21010100110969. The next prime is 21010100111003. The reversal of 21010100111000 is 11100101012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010100111003) 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 143 ways as a sum of consecutive naturals, for example, 143069612 + ... + 143216388.

It is an arithmetic number, because the mean of its divisors is an integer number (116103966615).

Almost surely, 2^{21010100111000} is an apocalyptic number.

21010100111000 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 21010100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33437942385120).

21010100111000 is an abundant number, since it is smaller than the sum of its proper divisors (45865784659240).

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

21010100111000 is a wasteful number, since it uses less digits than its factorization.

21010100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146853 (or 146815 counting only the distinct ones).

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

Adding to 21010100111000 its reverse (11100101012), we get a palindrome (21021200212012).

The spelling of 21010100111000 in words is "twenty-one trillion, ten billion, one hundred million, one hundred eleven thousand".