101201120 has 48 divisors (see below), whose sum is σ = 244934928. Its totient is φ = 39490560.

The previous prime is 101201077. The next prime is 101201123. The reversal of 101201120 is 21102101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101201098 and 101201107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201123) 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, 1154 + ... + 14273.

It is an arithmetic number, because the mean of its divisors is an integer number (5102811).

Almost surely, 2^101201120 is an apocalyptic number.

101201120 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 101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122467464).

101201120 is an abundant number, since it is smaller than the sum of its proper divisors (143733808).

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

101201120 is a wasteful number, since it uses less digits than its factorization.

101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101201120 is about 10059.8767388075. The cubic root of 101201120 is about 466.0098605980.

Adding to 101201120 its reverse (21102101), we get a palindrome (122303221).

The spelling of 101201120 in words is "one hundred one million, two hundred one thousand, one hundred twenty".