166301382221100 has 864 divisors, whose sum is σ = 656347647062016. Its totient is φ = 34353865728000.

The previous prime is 166301382221081. The next prime is 166301382221137. The reversal of 166301382221100 is 1122283103661.

166301382221100 is a `hidden beast` number, since 1 + 6 + 63 + 0 + 1 + 382 + 2 + 211 + 0 + 0 = 666.

It is a super-2 number, since 2×166301382221100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266474425 + ... + 267097775.

It is an arithmetic number, because the mean of its divisors is an integer number (759661628544).

Almost surely, 2^{166301382221100} is an apocalyptic number.

166301382221100 is a gapful number since it is divisible by the number (10) 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 166301382221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328173823531008).

166301382221100 is an abundant number, since it is smaller than the sum of its proper divisors (490046264840916).

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

166301382221100 is a wasteful number, since it uses less digits than its factorization.

166301382221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623495 (or 623485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 166301382221100 in words is "one hundred sixty-six trillion, three hundred one billion, three hundred eighty-two million, two hundred twenty-one thousand, one hundred".