100011120111 has 24 divisors (see below), whose sum is σ = 165249162624. Its totient is φ = 57096789840.

The previous prime is 100011120109. The next prime is 100011120119. The reversal of 100011120111 is 111021110001.

It is not a de Polignac number, because 100011120111 - 2¹ = 100011120109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011120093 and 100011120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011120119) 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 23 ways as a sum of consecutive naturals, for example, 658801 + ... + 796266.

It is an arithmetic number, because the mean of its divisors is an integer number (6885381776).

Almost surely, 2^100011120111 is an apocalyptic number.

100011120111 is a deficient number, since it is larger than the sum of its proper divisors (65238042513).

100011120111 is a wasteful number, since it uses less digits than its factorization.

100011120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456171 (or 1456168 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011120111 its reverse (111021110001), we get a palindrome (211032230112).

The spelling of 100011120111 in words is "one hundred billion, eleven million, one hundred twenty thousand, one hundred eleven".