100111123112 has 128 divisors (see below), whose sum is σ = 257391267840. Its totient is φ = 35237825280.

The previous prime is 100111123109. The next prime is 100111123117. The reversal of 100111123112 is 211321111001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100111123117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 243383 + ... + 509369.

It is an arithmetic number, because the mean of its divisors is an integer number (2010869280).

Almost surely, 2^100111123112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128695633920).

100111123112 is an abundant number, since it is smaller than the sum of its proper divisors (157280144728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111123112 is a wasteful number, since it uses less digits than its factorization.

100111123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266071 (or 266067 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100111123112 its reverse (211321111001), we get a palindrome (311432234113).

The spelling of 100111123112 in words is "one hundred billion, one hundred eleven million, one hundred twenty-three thousand, one hundred twelve".