166021027332100 has 36 divisors (see below), whose sum is σ = 361667441153844. Its totient is φ = 66150012436480.

The previous prime is 166021027332047. The next prime is 166021027332101. The reversal of 166021027332100 is 1233720120661.

It can be written as a sum of positive squares in 6 ways, for example, as 48191391768004 + 117829635564096 = 6942002^2 + 10854936^2 .

It is not an unprimeable number, because it can be changed into a prime (166021027332101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3229955377 + ... + 3230006776.

It is an arithmetic number, because the mean of its divisors is an integer number (10046317809829).

Almost surely, 2^{166021027332100} is an apocalyptic number.

166021027332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166021027332100 is an abundant number, since it is smaller than the sum of its proper divisors (195646413821744).

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

166021027332100 is a wasteful number, since it uses less digits than its factorization.

166021027332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459962424 (or 6459962417 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 166021027332100 its reverse (1233720120661), we get a palindrome (167254747452761).

The spelling of 166021027332100 in words is "one hundred sixty-six trillion, twenty-one billion, twenty-seven million, three hundred thirty-two thousand, one hundred".