101100111112 has 256 divisors, whose sum is σ = 264176640000. Its totient is φ = 34988405760.

The previous prime is 101100111107. The next prime is 101100111157. The reversal of 101100111112 is 211111001101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97304689 + ... + 97305727.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940000).

Almost surely, 2^101100111112 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 101100111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320000).

101100111112 is an abundant number, since it is smaller than the sum of its proper divisors (163076528888).

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

101100111112 is a wasteful number, since it uses less digits than its factorization.

101100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1520 counting only the distinct ones).

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

Adding to 101100111112 its reverse (211111001101), we get a palindrome (312211112213).

It can be divided in two parts, 101100 and 111112, that added together give a palindrome (212212).

The spelling of 101100111112 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, one hundred twelve".