21312101330100 has 288 divisors, whose sum is σ = 79268938963200. Its totient is φ = 4871337096960.

The previous prime is 21312101330083. The next prime is 21312101330249. The reversal of 21312101330100 is 103310121312.

21312101330100 is a `hidden beast` number, since 2 + 1 + 312 + 10 + 1 + 330 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5429745 + ... + 8491544.

It is an arithmetic number, because the mean of its divisors is an integer number (275239371400).

Almost surely, 2^{21312101330100} is an apocalyptic number.

21312101330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312101330100 is an abundant number, since it is smaller than the sum of its proper divisors (57956837633100).

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

21312101330100 is a wasteful number, since it uses less digits than its factorization.

21312101330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921331 (or 13921306 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21312101330100 its reverse (103310121312), we get a palindrome (21415411451412).

The spelling of 21312101330100 in words is "twenty-one trillion, three hundred twelve billion, one hundred one million, three hundred thirty thousand, one hundred".