21552320450100 has 288 divisors, whose sum is σ = 69899428400256. Its totient is φ = 5081127321600.

The previous prime is 21552320450099. The next prime is 21552320450123. The reversal of 21552320450100 is 105402325512.

It is a super-3 number, since 3×21552320450100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 257955532 + ... + 258039068.

It is an arithmetic number, because the mean of its divisors is an integer number (242706348612).

Almost surely, 2^{21552320450100} is an apocalyptic number.

21552320450100 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 21552320450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34949714200128).

21552320450100 is an abundant number, since it is smaller than the sum of its proper divisors (48347107950156).

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

21552320450100 is a wasteful number, since it uses less digits than its factorization.

21552320450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85715 (or 85708 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 21552320450100 its reverse (105402325512), we get a palindrome (21657722775612).

The spelling of 21552320450100 in words is "twenty-one trillion, five hundred fifty-two billion, three hundred twenty million, four hundred fifty thousand, one hundred".