101111001112 has 64 divisors (see below), whose sum is σ = 212399884800. Its totient is φ = 44730061440.

The previous prime is 101111001053. The next prime is 101111001149. The reversal of 101111001112 is 211100111101.

101111001112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672058 + ... + 808630.

It is an arithmetic number, because the mean of its divisors is an integer number (3318748200).

Almost surely, 2^101111001112 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 101111001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106199942400).

101111001112 is an abundant number, since it is smaller than the sum of its proper divisors (111288883688).

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

101111001112 is a wasteful number, since it uses less digits than its factorization.

101111001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136816 (or 136812 counting only the distinct ones).

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

Adding to 101111001112 its reverse (211100111101), we get a palindrome (312211112213).

The spelling of 101111001112 in words is "one hundred one billion, one hundred eleven million, one thousand, one hundred twelve".