100111122111 has 128 divisors (see below), whose sum is σ = 190416844800. Its totient is φ = 45095823360.

The previous prime is 100111122107. The next prime is 100111122119. The reversal of 100111122111 is 111221111001.

It is not a de Polignac number, because 100111122111 - 2² = 100111122107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111122119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3206685 + ... + 3237753.

It is an arithmetic number, because the mean of its divisors is an integer number (1487631600).

Almost surely, 2^100111122111 is an apocalyptic number.

100111122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111122111 is a deficient number, since it is larger than the sum of its proper divisors (90305722689).

100111122111 is a wasteful number, since it uses less digits than its factorization.

100111122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31169.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111122111 its reverse (111221111001), we get a palindrome (211332233112).

It can be divided in two parts, 100111 and 122111, that added together give a palindrome (222222).

The spelling of 100111122111 in words is "one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred eleven".