101111332120 has 64 divisors (see below), whose sum is σ = 233819251200. Its totient is φ = 39336485760.

The previous prime is 101111332109. The next prime is 101111332129. The reversal of 101111332120 is 21233111101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101111332094 and 101111332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111332129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27066 + ... + 450505.

It is an arithmetic number, because the mean of its divisors is an integer number (3653425800).

Almost surely, 2^101111332120 is an apocalyptic number.

101111332120 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 101111332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116909625600).

101111332120 is an abundant number, since it is smaller than the sum of its proper divisors (132707919080).

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

101111332120 is a wasteful number, since it uses less digits than its factorization.

101111332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477728 (or 477724 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101111332120 its reverse (21233111101), we get a palindrome (122344443221).

The spelling of 101111332120 in words is "one hundred one billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twenty".