21002122160 has 80 divisors (see below), whose sum is σ = 49384339200. Its totient is φ = 8305996800.

The previous prime is 21002122159. The next prime is 21002122171. The reversal of 21002122160 is 6122120012.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2654210 + ... + 2662110.

It is an arithmetic number, because the mean of its divisors is an integer number (617304240).

Almost surely, 2^21002122160 is an apocalyptic number.

21002122160 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 21002122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692169600).

21002122160 is an abundant number, since it is smaller than the sum of its proper divisors (28382217040).

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

21002122160 is a wasteful number, since it uses less digits than its factorization.

21002122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21002122160 its reverse (6122120012), we get a palindrome (27124242172).

The spelling of 21002122160 in words is "twenty-one billion, two million, one hundred twenty-two thousand, one hundred sixty".