1001101120 has 56 divisors (see below), whose sum is σ = 2390013000. Its totient is φ = 399409152.

The previous prime is 1001101067. The next prime is 1001101121. The reversal of 1001101120 is 211011001.

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 925619776 = 8688^2 + 30424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101121) 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, 127056 + ... + 134704.

Almost surely, 2^1001101120 is an apocalyptic number.

1001101120 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 1001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195006500).

1001101120 is an abundant number, since it is smaller than the sum of its proper divisors (1388911880).

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

1001101120 is an equidigital number, since it uses as much as digits as its factorization.

1001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8065 counting only the distinct ones).

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

The square root of 1001101120 is about 31640.1820475167. The cubic root of 1001101120 is about 1000.3669053640.

Adding to 1001101120 its reverse (211011001), we get a palindrome (1212112121).

The spelling of 1001101120 in words is "one billion, one million, one hundred one thousand, one hundred twenty".