101111221120 has 256 divisors, whose sum is σ = 299353582080. Its totient is φ = 31800729600.

The previous prime is 101111221109. The next prime is 101111221129. The reversal of 101111221120 is 21122111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101111221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9487795 + ... + 9498445.

It is an arithmetic number, because the mean of its divisors is an integer number (1169349930).

Almost surely, 2^101111221120 is an apocalyptic number.

101111221120 is a gapful number since it is divisible by the number (10) 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 101111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149676791040).

101111221120 is an abundant number, since it is smaller than the sum of its proper divisors (198242360960).

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

101111221120 is a wasteful number, since it uses less digits than its factorization.

101111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10841 counting only the distinct ones).

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

Adding to 101111221120 its reverse (21122111101), we get a palindrome (122233332221).

The spelling of 101111221120 in words is "one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".