1101001001120 has 24 divisors (see below), whose sum is σ = 2601114865524. Its totient is φ = 440400400384.

The previous prime is 1101001001119. The next prime is 1101001001123. The reversal of 1101001001120 is 211001001011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1037277067024 + 63723934096 = 1018468^2 + 252436^2 .

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 = 1101001001098 and 1101001001107.

It is not an unprimeable number, because it can be changed into a prime (1101001001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3440627969 + ... + 3440628288.

Almost surely, 2^{1101001001120} is an apocalyptic number.

1101001001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101001001120 is an abundant number, since it is smaller than the sum of its proper divisors (1500113864404).

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

1101001001120 is an equidigital number, since it uses as much as digits as its factorization.

1101001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881256272 (or 6881256264 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101001001120 its reverse (211001001011), we get a palindrome (1312002002131).

The spelling of 1101001001120 in words is "one trillion, one hundred one billion, one million, one thousand, one hundred twenty".