20102116160 has 112 divisors (see below), whose sum is σ = 56471393280. Its totient is φ = 6669803520.

The previous prime is 20102116121. The next prime is 20102116163. The reversal of 20102116160 is 6161120102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20102116160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102116163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75305 + ... + 214184.

Almost surely, 2^20102116160 is an apocalyptic number.

20102116160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102116160 is an abundant number, since it is smaller than the sum of its proper divisors (36369277120).

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

20102116160 is a wasteful number, since it uses less digits than its factorization.

20102116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289544 (or 289534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20102116160 its reverse (6161120102), we get a palindrome (26263236262).

The spelling of 20102116160 in words is "twenty billion, one hundred two million, one hundred sixteen thousand, one hundred sixty".