101101120 has 56 divisors (see below), whose sum is σ = 242142264. Its totient is φ = 40206336.

The previous prime is 101101111. The next prime is 101101139. The reversal of 101101120 is 21101101.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 99680256 = 1192^2 + 9984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60942 + ... + 62578.

It is an arithmetic number, because the mean of its divisors is an integer number (4323969).

Almost surely, 2^101101120 is an apocalyptic number.

101101120 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 101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121071132).

101101120 is an abundant number, since it is smaller than the sum of its proper divisors (141041144).

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

101101120 is a wasteful number, since it uses less digits than its factorization.

101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101101120 is about 10054.9052705632. The cubic root of 101101120 is about 465.8563170279.

Adding to 101101120 its reverse (21101101), we get a palindrome (122202221).

The spelling of 101101120 in words is "one hundred one million, one hundred one thousand, one hundred twenty".