1000011001120 has 48 divisors (see below), whose sum is σ = 2362627847160. Its totient is φ = 399987154944.

The previous prime is 1000011001097. The next prime is 1000011001139. The reversal of 1000011001120 is 211001100001.

It can be written as a sum of positive squares in 4 ways, for example, as 417310832016 + 582700169104 = 645996^2 + 763348^2 .

It is a super-2 number, since 2×1000011001120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3979366 + ... + 4223194.

Almost surely, 2^{1000011001120} is an apocalyptic number.

1000011001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000011001120 is an abundant number, since it is smaller than the sum of its proper divisors (1362616846040).

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

1000011001120 is a wasteful number, since it uses less digits than its factorization.

1000011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269477 (or 269469 counting only the distinct ones).

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

Adding to 1000011001120 its reverse (211001100001), we get a palindrome (1211012101121).

The spelling of 1000011001120 in words is "one trillion, eleven million, one thousand, one hundred twenty".