21021031330100 has 72 divisors (see below), whose sum is σ = 45999695601888. Its totient is φ = 8337836707200.

The previous prime is 21021031330073. The next prime is 21021031330139. The reversal of 21021031330100 is 103313012012.

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 23 ways as a sum of consecutive naturals, for example, 6345239 + ... + 9072161.

Almost surely, 2^{21021031330100} is an apocalyptic number.

21021031330100 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 21021031330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999847800944).

21021031330100 is an abundant number, since it is smaller than the sum of its proper divisors (24978664271788).

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

21021031330100 is a wasteful number, since it uses less digits than its factorization.

21021031330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727585 (or 2727578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21021031330100 its reverse (103313012012), we get a palindrome (21124344342112).

The spelling of 21021031330100 in words is "twenty-one trillion, twenty-one billion, thirty-one million, three hundred thirty thousand, one hundred".