21100314033120 has 192 divisors, whose sum is σ = 76024817326080. Its totient is φ = 4818885316608.

The previous prime is 21100314033089. The next prime is 21100314033133. The reversal of 21100314033120 is 2133041300112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1376521 + ... + 6640439.

It is an arithmetic number, because the mean of its divisors is an integer number (395962590240).

Almost surely, 2^{21100314033120} is an apocalyptic number.

21100314033120 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 21100314033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38012408663040).

21100314033120 is an abundant number, since it is smaller than the sum of its proper divisors (54924503292960).

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

21100314033120 is a wasteful number, since it uses less digits than its factorization.

21100314033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265137 (or 5265129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21100314033120 its reverse (2133041300112), we get a palindrome (23233355333232).

The spelling of 21100314033120 in words is "twenty-one trillion, one hundred billion, three hundred fourteen million, thirty-three thousand, one hundred twenty".