100118121345 has 24 divisors (see below), whose sum is σ = 189314266752. Its totient is φ = 48542119200.

The previous prime is 100118121307. The next prime is 100118121361. The reversal of 100118121345 is 543121811001.

It is not a de Polignac number, because 100118121345 - 2⁹ = 100118120833 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101128921 + ... + 101129910.

It is an arithmetic number, because the mean of its divisors is an integer number (7888094448).

Almost surely, 2^100118121345 is an apocalyptic number.

100118121345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100118121345 is a deficient number, since it is larger than the sum of its proper divisors (89196145407).

100118121345 is a wasteful number, since it uses less digits than its factorization.

100118121345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202258853 (or 202258850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 100118121345 its reverse (543121811001), we get a palindrome (643239932346).

The spelling of 100118121345 in words is "one hundred billion, one hundred eighteen million, one hundred twenty-one thousand, three hundred forty-five".