16801338100 has 18 divisors (see below), whose sum is σ = 36458903894. Its totient is φ = 6720535200.

The previous prime is 16801338091. The next prime is 16801338101. The reversal of 16801338100 is 183310861.

16801338100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 408120804 + 16393217296 = 20202^2 + 128036^2 .

It is a super-2 number, since 2×16801338100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16801338101) 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 5 ways as a sum of consecutive naturals, for example, 84006591 + ... + 84006790.

Almost surely, 2^16801338100 is an apocalyptic number.

16801338100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16801338100 is an abundant number, since it is smaller than the sum of its proper divisors (19657565794).

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

16801338100 is a wasteful number, since it uses less digits than its factorization.

16801338100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168013395 (or 168013388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

Adding to 16801338100 its reverse (183310861), we get a palindrome (16984648961).

The spelling of 16801338100 in words is "sixteen billion, eight hundred one million, three hundred thirty-eight thousand, one hundred".