101111112144 has 240 divisors, whose sum is σ = 328488614272. Its totient is φ = 28435525632.

The previous prime is 101111112121. The next prime is 101111112169. The reversal of 101111112144 is 441211111101.

It is a happy number.

101111112144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47313444 + ... + 47315580.

Almost surely, 2^101111112144 is an apocalyptic number.

101111112144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164244307136).

101111112144 is an abundant number, since it is smaller than the sum of its proper divisors (227377502128).

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

101111112144 is a wasteful number, since it uses less digits than its factorization.

101111112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101111112144 its reverse (441211111101), we get a palindrome (542322223245).

The spelling of 101111112144 in words is "one hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred forty-four".