180100100114 has 16 divisors (see below), whose sum is σ = 295225403616. Its totient is φ = 81720307200.

The previous prime is 180100100113. The next prime is 180100100161. The reversal of 180100100114 is 411001001081.

180100100114 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180100100114² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180100100092 and 180100100101.

It is not an unprimeable number, because it can be changed into a prime (180100100113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7155887 + ... + 7181010.

It is an arithmetic number, because the mean of its divisors is an integer number (18451587726).

Almost surely, 2^180100100114 is an apocalyptic number.

180100100114 is a deficient number, since it is larger than the sum of its proper divisors (115125303502).

180100100114 is a wasteful number, since it uses less digits than its factorization.

180100100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337481.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 180100100114 its reverse (411001001081), we get a palindrome (591101101195).

The spelling of 180100100114 in words is "one hundred eighty billion, one hundred million, one hundred thousand, one hundred fourteen".