100111101112 has 128 divisors (see below), whose sum is σ = 212614963200. Its totient is φ = 44169840000.

The previous prime is 100111101107. The next prime is 100111101127. The reversal of 100111101112 is 211101111001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51311737 + ... + 51313687.

It is an arithmetic number, because the mean of its divisors is an integer number (1661054400).

Almost surely, 2^100111101112 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 100111101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106307481600).

100111101112 is an abundant number, since it is smaller than the sum of its proper divisors (112503862088).

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

100111101112 is a wasteful number, since it uses less digits than its factorization.

100111101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111101112 its reverse (211101111001), we get a palindrome (311212212113).

The spelling of 100111101112 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred twelve".