920101120 has 72 divisors (see below), whose sum is σ = 2213296344. Its totient is φ = 366477312.

The previous prime is 920101073. The next prime is 920101123. The reversal of 920101120 is 21101029.

It can be written as a sum of positive squares in 4 ways, for example, as 452157696 + 467943424 = 21264^2 + 21632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 920101094 and 920101103.

It is not an unprimeable number, because it can be changed into a prime (920101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327562 + ... + 330358.

It is an arithmetic number, because the mean of its divisors is an integer number (30740227).

Almost surely, 2^920101120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106648172).

920101120 is an abundant number, since it is smaller than the sum of its proper divisors (1293195224).

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

920101120 is a wasteful number, since it uses less digits than its factorization.

920101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3061 counting only the distinct ones).

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

The square root of 920101120 is about 30333.1686442416. The cubic root of 920101120 is about 972.6244583127.

Adding to 920101120 its reverse (21101029), we get a palindrome (941202149).

The spelling of 920101120 in words is "nine hundred twenty million, one hundred one thousand, one hundred twenty".