101112211120 has 40 divisors (see below), whose sum is σ = 235099372320. Its totient is φ = 40442565120.

The previous prime is 101112211117. The next prime is 101112211129. The reversal of 101112211120 is 21112211101.

It is a happy number.

101112211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101112211120.

It is not an unprimeable number, because it can be changed into a prime (101112211129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2315085 + ... + 2358355.

It is an arithmetic number, because the mean of its divisors is an integer number (5877484308).

Almost surely, 2^101112211120 is an apocalyptic number.

101112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112211120 is an abundant number, since it is smaller than the sum of its proper divisors (133987161200).

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

101112211120 is a wasteful number, since it uses less digits than its factorization.

101112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72493 (or 72487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112211120 its reverse (21112211101), we get a palindrome (122224422221).

The spelling of 101112211120 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".