100111121168 has 10 divisors (see below), whose sum is σ = 193965297294. Its totient is φ = 50055560576.

The previous prime is 100111121167. The next prime is 100111121179. The reversal of 100111121168 is 861121111001.

It can be written as a sum of positive squares in only one way, i.e., 75049698304 + 25061422864 = 273952^2 + 158308^2 .

It is not an unprimeable number, because it can be changed into a prime (100111121167) 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 as a sum of consecutive naturals, namely, 3128472521 + ... + 3128472552.

Almost surely, 2^100111121168 is an apocalyptic number.

It is an amenable number.

100111121168 is a deficient number, since it is larger than the sum of its proper divisors (93854176126).

100111121168 is an equidigital number, since it uses as much as digits as its factorization.

100111121168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256945081 (or 6256945075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 23.

Adding to 100111121168 its reverse (861121111001), we get a palindrome (961232232169).

The spelling of 100111121168 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, one hundred sixty-eight".