101331120 has 160 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 24294400.

The previous prime is 101331089. The next prime is 101331127. The reversal of 101331120 is 21133101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101331096 and 101331105.

It is not an unprimeable number, because it can be changed into a prime (101331127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345694 + ... + 345986.

Almost surely, 2^101331120 is an apocalyptic number.

101331120 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 101331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

101331120 is an abundant number, since it is smaller than the sum of its proper divisors (245146704).

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

101331120 is a wasteful number, since it uses less digits than its factorization.

101331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101331120 is about 10066.3359769084. The cubic root of 101331120 is about 466.2093160983.

Adding to 101331120 its reverse (21133101), we get a palindrome (122464221).

The spelling of 101331120 in words is "one hundred one million, three hundred thirty-one thousand, one hundred twenty".