208101120 has 72 divisors (see below), whose sum is σ = 664635216. Its totient is φ = 55492608.

The previous prime is 208101119. The next prime is 208101137. The reversal of 208101120 is 21101802.

It is a super-2 number, since 2×208101120² = 86612152290508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 208101120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23257 + ... + 30936.

Almost surely, 2^208101120 is an apocalyptic number.

208101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208101120 is an abundant number, since it is smaller than the sum of its proper divisors (456534096).

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

208101120 is an equidigital number, since it uses as much as digits as its factorization.

208101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54217 (or 54203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 208101120 is about 14425.7103811216. The cubic root of 208101120 is about 592.5952133835.

Adding to 208101120 its reverse (21101802), we get a palindrome (229202922).

The spelling of 208101120 in words is "two hundred eight million, one hundred one thousand, one hundred twenty".