100116050111 has 16 divisors (see below), whose sum is σ = 124827866880. Its totient is φ = 78007596480.

The previous prime is 100116050087. The next prime is 100116050129. The reversal of 100116050111 is 111050611001.

It is not a de Polignac number, because 100116050111 - 2¹⁰ = 100116049087 is a prime.

It is a super-2 number, since 2×100116050111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100116050111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116050011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631300 + ... + 1691558.

It is an arithmetic number, because the mean of its divisors is an integer number (7801741680).

Almost surely, 2^100116050111 is an apocalyptic number.

100116050111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100116050111 is a deficient number, since it is larger than the sum of its proper divisors (24711816769).

100116050111 is a wasteful number, since it uses less digits than its factorization.

100116050111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81854.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 100116050111 its reverse (111050611001), we get a palindrome (211166661112).

The spelling of 100116050111 in words is "one hundred billion, one hundred sixteen million, fifty thousand, one hundred eleven".