1001110121120 has 48 divisors (see below), whose sum is σ = 2365451492040. Its totient is φ = 400388373504.

The previous prime is 1001110121119. The next prime is 1001110121173. The reversal of 1001110121120 is 211210111001.

It can be written as a sum of positive squares in 4 ways, for example, as 576803794576 + 424306326544 = 759476^2 + 651388^2 .

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, 729146 + ... + 1591814.

Almost surely, 2^{1001110121120} is an apocalyptic number.

1001110121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110121120 is an abundant number, since it is smaller than the sum of its proper divisors (1364341370920).

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

1001110121120 is an equidigital number, since it uses as much as digits as its factorization.

1001110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869937 (or 869929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001110121120 its reverse (211210111001), we get a palindrome (1212320232121).

The spelling of 1001110121120 in words is "one trillion, one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".