212221100160 has 384 divisors, whose sum is σ = 744872544000. Its totient is φ = 55667589120.

The previous prime is 212221100071. The next prime is 212221100173. The reversal of 212221100160 is 61001122212.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150617536 + ... + 150618944.

It is an arithmetic number, because the mean of its divisors is an integer number (1939772250).

Almost surely, 2^212221100160 is an apocalyptic number.

212221100160 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 212221100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372436272000).

212221100160 is an abundant number, since it is smaller than the sum of its proper divisors (532651443840).

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

212221100160 is a wasteful number, since it uses less digits than its factorization.

212221100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212221100160 its reverse (61001122212), we get a palindrome (273222222372).

The spelling of 212221100160 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred sixty".