21131330201100 has 576 divisors, whose sum is σ = 79140304696320. Its totient is φ = 4737457152000.

The previous prime is 21131330201083. The next prime is 21131330201119. The reversal of 21131330201100 is 110203313112.

21131330201100 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 330 + 201 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204200572 + ... + 204304028.

It is an arithmetic number, because the mean of its divisors is an integer number (137396362320).

Almost surely, 2^{21131330201100} is an apocalyptic number.

21131330201100 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 21131330201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39570152348160).

21131330201100 is an abundant number, since it is smaller than the sum of its proper divisors (58008974495220).

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

21131330201100 is a wasteful number, since it uses less digits than its factorization.

21131330201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103695 (or 103682 counting only the distinct ones).

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

Adding to 21131330201100 its reverse (110203313112), we get a palindrome (21241533514212).

The spelling of 21131330201100 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirty million, two hundred one thousand, one hundred".